diff --git a/Library/Homebrew/api/formula.rb b/Library/Homebrew/api/formula.rb
index a8d2215295..8704ec6ad4 100644
--- a/Library/Homebrew/api/formula.rb
+++ b/Library/Homebrew/api/formula.rb
@@ -59,7 +59,7 @@ module Homebrew
         end
         private :download_and_cache_data!
 
-        sig { returns(Hash) }
+        sig { returns(T::Hash[String, Hash]) }
         def all_formulae
           unless cache.key?("formulae")
             json_updated = download_and_cache_data!
@@ -69,7 +69,7 @@ module Homebrew
           cache["formulae"]
         end
 
-        sig { returns(Hash) }
+        sig { returns(T::Hash[String, String]) }
         def all_aliases
           unless cache.key?("aliases")
             json_updated = download_and_cache_data!
diff --git a/Library/Homebrew/cleanup.rb b/Library/Homebrew/cleanup.rb
index 19348c6a4c..66937919c4 100644
--- a/Library/Homebrew/cleanup.rb
+++ b/Library/Homebrew/cleanup.rb
@@ -130,7 +130,7 @@ module Homebrew
 
         formula = begin
           Formulary.from_rack(HOMEBREW_CELLAR/formula_name)
-        rescue FormulaUnavailableError, TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+        rescue FormulaUnavailableError, TapFormulaAmbiguityError
           nil
         end
 
@@ -300,7 +300,7 @@ module Homebrew
         args.each do |arg|
           formula = begin
             Formulary.resolve(arg)
-          rescue FormulaUnavailableError, TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+          rescue FormulaUnavailableError, TapFormulaAmbiguityError
             nil
           end
 
diff --git a/Library/Homebrew/diagnostic.rb b/Library/Homebrew/diagnostic.rb
index bcfcfdf4c0..23f1b53e22 100644
--- a/Library/Homebrew/diagnostic.rb
+++ b/Library/Homebrew/diagnostic.rb
@@ -733,8 +733,7 @@ module Homebrew
         rescue FormulaUnreadableError, FormulaClassUnavailableError,
                TapFormulaUnreadableError, TapFormulaClassUnavailableError => e
           formula_unavailable_exceptions << e
-        rescue FormulaUnavailableError,
-               TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+        rescue FormulaUnavailableError, TapFormulaAmbiguityError
           nil
         end
         return if formula_unavailable_exceptions.empty?
@@ -752,7 +751,7 @@ module Homebrew
           else
             begin
               Formulary.from_rack(rack).keg_only?
-            rescue FormulaUnavailableError, TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+            rescue FormulaUnavailableError, TapFormulaAmbiguityError
               false
             end
           end
@@ -835,16 +834,30 @@ module Homebrew
         kegs = Keg.all
 
         deleted_formulae = kegs.map do |keg|
-          next if Formulary.tap_paths(keg.name).any?
+          tap = Tab.for_keg(keg).tap
 
-          unless EnvConfig.no_install_from_api?
-            # Formulae installed from the API should not count as deleted formulae
-            # but may not have a tap listed in their tab
-            tap = Tab.for_keg(keg).tap
-            next if (tap.blank? || tap.core_tap?) && Homebrew::API::Formula.all_formulae.key?(keg.name)
+          loadable = [
+            Formulary::FromAPILoader,
+            Formulary::FromDefaultNameLoader,
+            Formulary::FromNameLoader,
+          ].any? do |loader_class|
+            loader = begin
+              loader_class.try_new(keg.name, warn: false)
+            rescue TapFormulaAmbiguityError => e
+              e.loaders.first
+            end
+
+            if loader
+              # If we know the tap, ignore all other taps.
+              next false if tap && loader.tap != tap
+
+              next true
+            end
+
+            false
           end
 
-          keg.name
+          keg.name unless loadable
         end.compact.uniq
 
         return if deleted_formulae.blank?
diff --git a/Library/Homebrew/exceptions.rb b/Library/Homebrew/exceptions.rb
index e0861796c5..1094c7e517 100644
--- a/Library/Homebrew/exceptions.rb
+++ b/Library/Homebrew/exceptions.rb
@@ -259,40 +259,20 @@ end
 
 # Raised when a formula with the same name is found in multiple taps.
 class TapFormulaAmbiguityError < RuntimeError
-  attr_reader :name, :paths, :formulae
+  attr_reader :name, :taps, :loaders
 
-  def initialize(name, paths)
+  def initialize(name, loaders)
     @name = name
-    @paths = paths
-    @formulae = paths.map do |path|
-      "#{Tap.from_path(path).name}/#{path.basename(".rb")}"
-    end
+    @loaders = loaders
+    @taps = loaders.map(&:tap)
+
+    formulae = taps.map { |tap| "#{tap}/#{name}" }
+    formula_list = formulae.map { |f| "\n       * #{f}" }.join
 
     super <<~EOS
-      Formulae found in multiple taps: #{formulae.map { |f| "\n       * #{f}" }.join}
+      Formulae found in multiple taps:#{formula_list}
 
-      Please use the fully-qualified name (e.g. #{formulae.first}) to refer to the formula.
-    EOS
-  end
-end
-
-# Raised when a formula's old name in a specific tap is found in multiple taps.
-class TapFormulaWithOldnameAmbiguityError < RuntimeError
-  attr_reader :name, :possible_tap_newname_formulae, :taps
-
-  def initialize(name, possible_tap_newname_formulae)
-    @name = name
-    @possible_tap_newname_formulae = possible_tap_newname_formulae
-
-    @taps = possible_tap_newname_formulae.map do |newname|
-      newname =~ HOMEBREW_TAP_FORMULA_REGEX
-      "#{Regexp.last_match(1)}/#{Regexp.last_match(2)}"
-    end
-
-    super <<~EOS
-      Formulae with '#{name}' old name found in multiple taps: #{taps.map { |t| "\n       * #{t}" }.join}
-
-      Please use the fully-qualified name (e.g. #{taps.first}/#{name}) to refer to the formula or use its new name.
+      Please use the fully-qualified name (e.g. #{formulae.first}) to refer to a specific formula.
     EOS
   end
 end
diff --git a/Library/Homebrew/formula.rb b/Library/Homebrew/formula.rb
index 17c7f2ee77..9dd88c0365 100644
--- a/Library/Homebrew/formula.rb
+++ b/Library/Homebrew/formula.rb
@@ -77,7 +77,7 @@ class Formula
 
   # The path to the alias that was used to identify this {Formula}.
   # e.g. `/usr/local/Library/Taps/homebrew/homebrew-core/Aliases/another-name-for-this-formula`
-  sig { returns(T.any(NilClass, Pathname, String)) }
+  sig { returns(T.nilable(Pathname)) }
   attr_reader :alias_path
 
   # The name of the alias that was used to identify this {Formula}.
@@ -199,7 +199,7 @@ class Formula
 
   # @private
   sig {
-    params(name: String, path: Pathname, spec: Symbol, alias_path: T.any(NilClass, Pathname, String),
+    params(name: String, path: Pathname, spec: Symbol, alias_path: T.nilable(Pathname),
            tap: T.nilable(Tap), force_bottle: T::Boolean).void
   }
   def initialize(name, path, spec, alias_path: nil, tap: nil, force_bottle: false)
@@ -326,18 +326,22 @@ class Formula
   # The alias path that was used to install this formula, if it exists.
   # Can differ from {#alias_path}, which is the alias used to find the formula,
   # and is specified to this instance.
+  sig { returns(T.nilable(Pathname)) }
   def installed_alias_path
     build_tab = build
     path = build_tab.source["path"] if build_tab.is_a?(Tab)
+
     return unless path&.match?(%r{#{HOMEBREW_TAP_DIR_REGEX}/Aliases}o)
-    return unless File.symlink?(path)
+
+    path = Pathname(path)
+    return unless path.symlink?
 
     path
   end
 
   sig { returns(T.nilable(String)) }
   def installed_alias_name
-    File.basename(installed_alias_path) if installed_alias_path
+    installed_alias_path&.basename&.to_s
   end
 
   def full_installed_alias_name
@@ -346,14 +350,13 @@ class Formula
 
   # The path that was specified to find this formula.
   def specified_path
-    alias_pathname = Pathname(T.must(alias_path)) if alias_path.present?
-    return alias_pathname if alias_pathname&.exist?
+    return alias_path if alias_path&.exist?
 
     return @unresolved_path if @unresolved_path.exist?
 
     return local_bottle_path if local_bottle_path.presence&.exist?
 
-    alias_pathname || @unresolved_path
+    alias_path || @unresolved_path
   end
 
   # The name specified to find this formula.
@@ -1315,7 +1318,7 @@ class Formula
         f = Formulary.factory(keg.name)
       rescue FormulaUnavailableError
         # formula for this keg is deleted, so defer to allowlist
-      rescue TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+      rescue TapFormulaAmbiguityError
         return false # this keg belongs to another formula
       else
         # this keg belongs to another unrelated formula
@@ -2362,7 +2365,7 @@ class Formula
 
     # Take from API, merging in local install status.
     if loaded_from_api? && !Homebrew::EnvConfig.no_install_from_api?
-      json_formula = Homebrew::API::Formula.all_formulae[name].dup
+      json_formula = Homebrew::API::Formula.all_formulae.fetch(name).dup
       return json_formula.merge(
         hash.slice("name", "installed", "linked_keg", "pinned", "outdated"),
       )
diff --git a/Library/Homebrew/formula_auditor.rb b/Library/Homebrew/formula_auditor.rb
index b0b8407862..b094171b22 100644
--- a/Library/Homebrew/formula_auditor.rb
+++ b/Library/Homebrew/formula_auditor.rb
@@ -64,8 +64,7 @@ module Homebrew
 
         unversioned_formula = begin
           Formulary.factory(full_name).path
-        rescue FormulaUnavailableError, TapFormulaAmbiguityError,
-               TapFormulaWithOldnameAmbiguityError
+        rescue FormulaUnavailableError, TapFormulaAmbiguityError
           Pathname.new formula.path.to_s.gsub(/@.*\.rb$/, ".rb")
         end
         unless unversioned_formula.exist?
@@ -285,9 +284,6 @@ module Homebrew
           rescue TapFormulaAmbiguityError
             problem "Ambiguous dependency '#{dep.name}'."
             next
-          rescue TapFormulaWithOldnameAmbiguityError
-            problem "Ambiguous oldname dependency '#{dep.name.inspect}'."
-            next
           end
 
           if dep_f.oldnames.include?(dep.name.split("/").last)
@@ -461,7 +457,7 @@ module Homebrew
         next
       rescue FormulaUnavailableError
         problem "Can't find conflicting formula #{conflict.name.inspect}."
-      rescue TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+      rescue TapFormulaAmbiguityError
         problem "Ambiguous conflicting formula #{conflict.name.inspect}."
       end
     end
diff --git a/Library/Homebrew/formulary.rb b/Library/Homebrew/formulary.rb
index e6f8a357df..f1fe205448 100644
--- a/Library/Homebrew/formulary.rb
+++ b/Library/Homebrew/formulary.rb
@@ -16,6 +16,7 @@ require "extend/hash/keys"
 #
 # @api private
 module Formulary
+  extend Context
   extend Cachable
 
   URL_START_REGEX = %r{(https?|ftp|file)://}
@@ -480,17 +481,26 @@ module Formulary
     include Context
 
     # The formula's name
+    sig { returns(String) }
     attr_reader :name
+
     # The formula's ruby file's path or filename
+    sig { returns(Pathname) }
     attr_reader :path
+
     # The name used to install the formula
+    sig { returns(T.nilable(Pathname)) }
     attr_reader :alias_path
+
     # The formula's tap (nil if it should be implicitly determined)
+    sig { returns(T.nilable(Tap)) }
     attr_reader :tap
 
-    def initialize(name, path, tap: nil)
+    sig { params(name: String, path: Pathname, alias_path: Pathname, tap: Tap).void }
+    def initialize(name, path, alias_path: T.unsafe(nil), tap: T.unsafe(nil))
       @name = name
       @path = path
+      @alias_path = alias_path
       @tap = tap
     end
 
@@ -511,7 +521,6 @@ module Formulary
     private
 
     def load_file(flags:, ignore_errors:)
-      $stderr.puts "#{$PROGRAM_NAME} (#{self.class.name}): loading #{path}" if debug?
       raise FormulaUnavailableError, name unless path.file?
 
       Formulary.load_formula_from_path(name, path, flags: flags, ignore_errors: ignore_errors)
@@ -519,7 +528,17 @@ module Formulary
   end
 
   # Loads a formula from a bottle.
-  class BottleLoader < FormulaLoader
+  class FromBottleLoader < FormulaLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      ref = ref.to_s
+
+      new(ref) if HOMEBREW_BOTTLES_EXTNAME_REGEX.match?(ref)
+    end
+
     def initialize(bottle_name)
       case bottle_name
       when URL_START_REGEX
@@ -562,27 +581,67 @@ module Formulary
     end
   end
 
-  # Loads a formula from a path to an alias.
-  class AliasLoader < FormulaLoader
-    def initialize(alias_path)
-      path = alias_path.resolved_path
-      name = path.basename(".rb").to_s
-      super name, path
-      @alias_path = alias_path.to_s
-    end
-  end
-
   # Loads formulae from disk using a path.
   class FromPathLoader < FormulaLoader
-    def initialize(path)
-      path = Pathname.new(path).expand_path
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      path = case ref
+      when String
+        Pathname(ref)
+      when Pathname
+        ref
+      else
+        return
+      end
+
+      return unless path.expand_path.exist?
+
+      options = if path.symlink?
+        alias_path = path
+      path = alias_path.resolved_path
+        { alias_path: alias_path }
+      else
+        {}
+    end
+
+      return if path.extname != ".rb"
+
+      new(path, **options)
+  end
+
+    sig { params(path: T.any(Pathname, String), alias_path: Pathname).void }
+    def initialize(path, alias_path: T.unsafe(nil))
+      path = Pathname(path).expand_path
       name = path.basename(".rb").to_s
-      super name, path, tap: Homebrew::API.tap_from_source_download(path)
+      alias_path = alias_path&.expand_path
+      alias_dir = alias_path&.dirname
+
+      tap = Tap.from_path(path) || Homebrew::API.tap_from_source_download(path)
+
+      options = {
+        alias_path: (alias_path if alias_dir == tap&.alias_dir),
+        tap:        tap,
+      }.compact
+
+      super(name, path, **options)
     end
   end
 
-  # Loads formulae from URLs.
-  class FromUrlLoader < FormulaLoader
+  # Loads formula from a URI.
+  class FromURILoader < FormulaLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      ref = ref.to_s
+
+      new(ref, from: from) if URL_START_REGEX.match?(ref)
+    end
+
     attr_reader :url
 
     sig { params(url: T.any(URI::Generic, String), from: T.nilable(Symbol)).void }
@@ -621,7 +680,45 @@ module Formulary
   end
 
   # Loads tapped formulae.
-  class TapLoader < FormulaLoader
+  class FromTapLoader < FormulaLoader
+    sig { returns(Tap) }
+    attr_reader :tap
+
+    sig { returns(Pathname) }
+    attr_reader :path
+
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      ref = ref.to_s
+      return unless (name = ref[HOMEBREW_TAP_FORMULA_REGEX, :name])
+
+      alias_name = name
+
+      name, tap, type = Formulary.tap_formula_name_type(ref, warn: warn)
+      path = Formulary.find_formula_in_tap(name, tap)
+
+      options = if type == :alias
+        { alias_name: alias_name.downcase }
+      else
+        {}
+      end
+
+      new(name, path, tap: tap, **options)
+    end
+
+    sig { params(name: String, path: Pathname, tap: Tap, alias_name: String).void }
+    def initialize(name, path, tap:, alias_name: T.unsafe(nil))
+      options = {
+        alias_path: (tap.alias_dir/alias_name if alias_name),
+        tap:        tap,
+      }.compact
+
+      super(name, path, **options)
+    end
+
     def get_formula(spec, alias_path: nil, force_bottle: false, flags: [], ignore_errors: false)
       super
     rescue FormulaUnreadableError => e
@@ -638,17 +735,94 @@ module Formulary
       e.issues_url = tap.issues_url || tap.to_s
       raise
     end
+  end
 
-    private
+  class FromDefaultNameLoader < FromTapLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      return unless ref.is_a?(String)
+      return unless (name = ref[HOMEBREW_DEFAULT_TAP_FORMULA_REGEX, :name])
+      return unless (tap = CoreTap.instance).installed?
 
-    def find_formula_from_name(name, tap)
-      Formulary.find_formula_in_tap(name, tap)
+      return unless (loader = super("#{tap}/#{name}", warn: warn))
+
+      loader if loader.path.exist?
+    end
+  end
+
+  # Loads a formula from a name, as long as it exists only in a single tap.
+  class FromNameLoader < FromTapLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      return unless ref.is_a?(String)
+      return if ref.include?("/")
+
+      name = ref
+
+      loaders = Tap.map { |tap| super("#{tap}/#{name}") }
+                   .compact
+                   .select { _1.path.exist? }
+
+      case loaders.count
+      when 1
+        loaders.first
+      when 2..Float::INFINITY
+        raise TapFormulaAmbiguityError.new(name, loaders)
+      end
+    end
+  end
+
+  # Loads a formula from a formula file in a keg.
+  class FromKegLoader < FormulaLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      ref = ref.to_s
+
+      return unless (keg_formula = HOMEBREW_PREFIX/"opt/#{ref}/.brew/#{ref}.rb").file?
+
+      new(ref, keg_formula)
+    end
+  end
+
+  # Loads a formula from a cached formula file.
+  class FromCacheLoader < FormulaLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      ref = ref.to_s
+
+      return unless (cached_formula = HOMEBREW_CACHE_FORMULA/"#{ref}.rb").file?
+
+      new(ref, cached_formula)
     end
   end
 
   # Pseudo-loader which will raise a {FormulaUnavailableError} when trying to load the corresponding formula.
   class NullLoader < FormulaLoader
-    def initialize(name)
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      return if ref.is_a?(URI::Generic)
+
+      new(ref)
+    end
+
+    sig { params(ref: T.any(String, Pathname)).void }
+    def initialize(ref)
+      name = File.basename(ref, ".rb")
       super name, Formulary.core_path(name)
     end
 
@@ -668,16 +842,50 @@ module Formulary
     end
 
     def klass(flags:, ignore_errors:)
-      $stderr.puts "#{$PROGRAM_NAME} (#{self.class.name}): loading #{path}" if debug?
       namespace = "FormulaNamespace#{Digest::MD5.hexdigest(contents.to_s)}"
       Formulary.load_formula(name, path, contents, namespace, flags: flags, ignore_errors: ignore_errors)
     end
   end
 
-  # Load formulae from the API.
-  class FormulaAPILoader < FormulaLoader
-    def initialize(name)
-      super name, Formulary.core_path(name)
+  # Load a formula from the API.
+  class FromAPILoader < FormulaLoader
+    sig {
+      params(ref: T.any(String, Pathname, URI::Generic), from: Symbol, warn: T::Boolean)
+        .returns(T.nilable(T.attached_class))
+    }
+    def self.try_new(ref, from: T.unsafe(nil), warn: false)
+      return if Homebrew::EnvConfig.no_install_from_api?
+      return unless ref.is_a?(String)
+      return unless (name = ref[HOMEBREW_DEFAULT_TAP_FORMULA_REGEX, :name])
+      if !Homebrew::API::Formula.all_formulae.key?(name) &&
+         !Homebrew::API::Formula.all_aliases.key?(name) &&
+         !Homebrew::API::Formula.all_renames.key?(name)
+        return
+      end
+
+      alias_name = name
+
+      ref = "#{CoreTap.instance}/#{name}"
+
+      name, tap, type = Formulary.tap_formula_name_type(ref, warn: warn)
+
+      options =  if type == :alias
+        { alias_name: alias_name.downcase }
+      else
+        {}
+      end
+
+      new(name, tap: tap, **options)
+    end
+
+    sig { params(name: String, tap: Tap, alias_name: String).void }
+    def initialize(name, tap: T.unsafe(nil), alias_name: T.unsafe(nil))
+      options = {
+        alias_path: (CoreTap.instance.alias_dir/alias_name if alias_name),
+        tap:        tap,
+      }.compact
+
+      super(name, Formulary.core_path(name), **options)
     end
 
     def klass(flags:, ignore_errors:)
@@ -688,20 +896,10 @@ module Formulary
     private
 
     def load_from_api(flags:)
-      $stderr.puts "#{$PROGRAM_NAME} (#{self.class.name}): loading #{name} from API" if debug?
-
       Formulary.load_formula_from_api(name, flags: flags)
     end
   end
 
-  # Load aliases from the API.
-  class AliasAPILoader < FormulaAPILoader
-    def initialize(alias_name)
-      super Homebrew::API::Formula.all_aliases[alias_name]
-      @alias_path = Formulary.core_alias_path(alias_name).to_s
-    end
-  end
-
   # Return a {Formula} instance for the given reference.
   # `ref` is a string containing:
   #
@@ -741,6 +939,7 @@ module Formulary
                         force_bottle:  force_bottle,
                         flags:         flags,
                         ignore_errors: ignore_errors }.compact
+
     formula = loader_for(ref, **loader_options)
               .get_formula(spec, **formula_options)
 
@@ -793,7 +992,7 @@ module Formulary
   # Return whether given rack is keg-only.
   def self.keg_only?(rack)
     Formulary.from_rack(rack).keg_only?
-  rescue FormulaUnavailableError, TapFormulaAmbiguityError, TapFormulaWithOldnameAmbiguityError
+  rescue FormulaUnavailableError, TapFormulaAmbiguityError
     false
   end
 
@@ -906,9 +1105,13 @@ module Formulary
     user, repo, name = tapped_name.split("/", 3).map(&:downcase)
     tap = Tap.fetch(user, repo)
     type = nil
-    alias_name = tap.core_tap? ? name : "#{tap}/#{name}"
 
-    if (possible_alias = tap.alias_table[alias_name].presence)
+    # FIXME: Remove the need to do this here.
+    alias_table_key = tap.core_tap? ? name : "#{tap}/#{name}"
+
+    if (possible_alias = tap.alias_table[alias_table_key].presence)
+      # FIXME: Remove the need to split the name and instead make
+      #        the alias table only contain short names.
       name = possible_alias.split("/").last
       type = :alias
     elsif (new_name = tap.formula_renames[name].presence)
@@ -938,103 +1141,32 @@ module Formulary
     [name, tap, type]
   end
 
-  def self.tap_loader_for(tapped_name, warn:)
-    name, tap, type = Formulary.tap_formula_name_type(tapped_name, warn: warn)
+  def self.loader_for(ref, from: T.unsafe(nil), warn: true)
+    options = { from: from, warn: warn }.compact
 
-    if tap.core_tap? && !Homebrew::EnvConfig.no_install_from_api?
-      if type == :alias
-        return AliasAPILoader.new(name)
-      elsif Homebrew::API::Formula.all_formulae.key?(name)
-        return FormulaAPILoader.new(name)
+    [
+      FromBottleLoader,
+      FromURILoader,
+      FromAPILoader,
+      FromTapLoader,
+      FromPathLoader,
+      FromDefaultNameLoader,
+      FromNameLoader,
+      FromKegLoader,
+      FromCacheLoader,
+      NullLoader,
+    ].each do |loader_class|
+      if (loader = loader_class.try_new(ref, **options))
+        $stderr.puts "#{$PROGRAM_NAME} (#{loader_class}): loading #{ref}" if debug?
+        return loader
       end
     end
-
-    path = find_formula_in_tap(name, tap)
-    TapLoader.new(name, path, tap: tap)
-  end
-
-  def self.loader_for(ref, from: nil, warn: true)
-    case ref
-    when HOMEBREW_BOTTLES_EXTNAME_REGEX
-      return BottleLoader.new(ref)
-    when URL_START_REGEX
-      return FromUrlLoader.new(ref, from: from)
-    when HOMEBREW_TAP_FORMULA_REGEX
-      return Formulary.tap_loader_for(ref, warn: warn)
-    end
-
-    pathname_ref = Pathname.new(ref)
-    return FromPathLoader.new(ref) if File.extname(ref) == ".rb" && pathname_ref.expand_path.exist?
-
-    unless Homebrew::EnvConfig.no_install_from_api?
-      return FormulaAPILoader.new(ref) if Homebrew::API::Formula.all_formulae.key?(ref)
-      return AliasAPILoader.new(ref) if Homebrew::API::Formula.all_aliases.key?(ref)
-    end
-
-    formula_with_that_name = core_path(ref)
-    return FormulaLoader.new(ref, formula_with_that_name) if formula_with_that_name.file?
-
-    possible_alias = if pathname_ref.absolute?
-      pathname_ref
-    else
-      core_alias_path(ref)
-    end
-    return AliasLoader.new(possible_alias) if possible_alias.symlink?
-
-    case (possible_tap_formulae = tap_paths(ref)).count
-    when 1
-      path = possible_tap_formulae.first.resolved_path
-      name = path.basename(".rb").to_s
-      return FormulaLoader.new(name, path)
-    when 2..Float::INFINITY
-      raise TapFormulaAmbiguityError.new(ref, possible_tap_formulae)
-    end
-
-    if CoreTap.instance.formula_renames.key?(ref)
-      return Formulary.tap_loader_for("#{CoreTap.instance}/#{ref}", warn: warn)
-    end
-
-    possible_taps = Tap.select { |tap| tap.formula_renames.key?(ref) }
-
-    case possible_taps.count
-    when 1
-      return Formulary.tap_loader_for("#{possible_taps.first}/#{ref}", warn: warn)
-    when 2..Float::INFINITY
-      possible_tap_newname_formulae = possible_taps.map { |tap| "#{tap}/#{tap.formula_renames[ref]}" }
-      raise TapFormulaWithOldnameAmbiguityError.new(ref, possible_tap_newname_formulae)
-    end
-
-    if (keg_formula = HOMEBREW_PREFIX/"opt/#{ref}/.brew/#{ref}.rb").file?
-      return FormulaLoader.new(ref, keg_formula)
-    end
-
-    if (cached_formula = HOMEBREW_CACHE_FORMULA/"#{ref}.rb").file?
-      return FormulaLoader.new(ref, cached_formula)
-    end
-
-    NullLoader.new(ref)
   end
 
   def self.core_path(name)
     find_formula_in_tap(name.to_s.downcase, CoreTap.instance)
   end
 
-  def self.core_alias_path(name)
-    CoreTap.instance.alias_dir/name.to_s.downcase
-  end
-
-  def self.tap_paths(name)
-    name = name.to_s.downcase
-    Tap.select(&:installed?).map do |tap|
-      formula_path = find_formula_in_tap(name, tap)
-
-      alias_path = tap.alias_dir/name
-      next alias_path if !formula_path.exist? && alias_path.exist?
-
-      formula_path
-    end.select(&:file?)
-  end
-
   sig { params(name: String, tap: Tap).returns(Pathname) }
   def self.find_formula_in_tap(name, tap)
     filename = if name.end_with?(".rb")
diff --git a/Library/Homebrew/tap_constants.rb b/Library/Homebrew/tap_constants.rb
index 6f102bfcbf..e3af9328ae 100644
--- a/Library/Homebrew/tap_constants.rb
+++ b/Library/Homebrew/tap_constants.rb
@@ -1,22 +1,42 @@
 # typed: strict
 # frozen_string_literal: true
 
-# Match taps' formulae, e.g. `someuser/sometap/someformula`
-HOMEBREW_TAP_FORMULA_REGEX = T.let(%r{^([\w-]+)/([\w-]+)/([\w+-.@]+)$}, Regexp)
-# Match taps' casks, e.g. `someuser/sometap/somecask`
-HOMEBREW_TAP_CASK_REGEX = T.let(%r{^([\w-]+)/([\w-]+)/([a-z0-9\-_]+)$}, Regexp)
-# Match default cask taps' casks, e.g. `homebrew/cask/somecask` or `somecask`
+# Match a formula name.
+HOMEBREW_TAP_FORMULA_NAME_REGEX = T.let(/(?<name>[\w+\-.@]+)/, Regexp)
+# Match taps' formulae, e.g. `someuser/sometap/someformula`.
+HOMEBREW_TAP_FORMULA_REGEX = T.let(
+  %r{\A(?<user>[\w-]+)/(?<repo>[\w-]+)/#{HOMEBREW_TAP_FORMULA_NAME_REGEX.source}\Z},
+  Regexp,
+)
+# Match default formula taps' formulae, e.g. `homebrew/core/someformula` or `someformula`.
+HOMEBREW_DEFAULT_TAP_FORMULA_REGEX = T.let(
+  %r{\A(?:[Hh]omebrew/(?:homebrew-)?core/)?(?<name>#{HOMEBREW_TAP_FORMULA_NAME_REGEX.source})\Z},
+  Regexp,
+)
+
+# Match a cask token.
+HOMEBREW_TAP_CASK_TOKEN_REGEX = T.let(/(?<token>[a-z0-9\-_]+(?:@[a-z0-9\-_.]+)?)/, Regexp)
+# Match taps' casks, e.g. `someuser/sometap/somecask`.
+HOMEBREW_TAP_CASK_REGEX = T.let(
+  %r{\A(?<user>[\w-]+)/(?<repo>[\w-]+)/#{HOMEBREW_TAP_CASK_TOKEN_REGEX.source}\Z},
+  Regexp,
+)
+# Match default cask taps' casks, e.g. `homebrew/cask/somecask` or `somecask`.
 HOMEBREW_DEFAULT_TAP_CASK_REGEX = T.let(
-  %r{^(?:[Hh]omebrew/(?:homebrew-)?cask/)?(?<token>[a-z0-9\-_]+)$}, Regexp
+  %r{\A(?:[Hh]omebrew/(?:homebrew-)?cask/)?#{HOMEBREW_TAP_CASK_TOKEN_REGEX.source}\Z},
+  Regexp,
 )
-# Match taps' directory paths, e.g. `HOMEBREW_LIBRARY/Taps/someuser/sometap`
+
+# Match taps' directory paths, e.g. `HOMEBREW_LIBRARY/Taps/someuser/sometap`.
 HOMEBREW_TAP_DIR_REGEX = T.let(
-  %r{#{Regexp.escape(HOMEBREW_LIBRARY.to_s)}/Taps/(?<user>[\w-]+)/(?<repo>[\w-]+)}, Regexp
+  %r{#{Regexp.escape(HOMEBREW_LIBRARY.to_s)}/Taps/(?<user>[\w-]+)/(?<repo>[\w-]+)},
+  Regexp,
 )
-# Match taps' formula paths, e.g. `HOMEBREW_LIBRARY/Taps/someuser/sometap/someformula`
-HOMEBREW_TAP_PATH_REGEX = T.let(Regexp.new(HOMEBREW_TAP_DIR_REGEX.source + %r{(?:/.*)?$}.source).freeze, Regexp)
-# Match official taps' casks, e.g. `homebrew/cask/somecask or homebrew/cask-versions/somecask`
-HOMEBREW_CASK_TAP_CASK_REGEX =
-  T.let(%r{^(?:([Cc]askroom)/(cask|versions)|([Hh]omebrew)/(?:homebrew-)?(cask|cask-[\w-]+))/([\w+-.]+)$},
-        Regexp)
-HOMEBREW_OFFICIAL_REPO_PREFIXES_REGEX = T.let(/^(home|linux)brew-/, Regexp)
+# Match taps' formula paths, e.g. `HOMEBREW_LIBRARY/Taps/someuser/sometap/someformula`.
+HOMEBREW_TAP_PATH_REGEX = T.let(Regexp.new(HOMEBREW_TAP_DIR_REGEX.source + %r{(?:/.*)?\Z}.source).freeze, Regexp)
+# Match official taps' casks, e.g. `homebrew/cask/somecask or homebrew/cask-versions/somecask`.
+HOMEBREW_CASK_TAP_CASK_REGEX = T.let(
+  %r{\A(?:([Cc]askroom)/(cask|versions)|([Hh]omebrew)/(?:homebrew-)?(cask|cask-[\w-]+))/([\w+-.]+)\Z},
+  Regexp,
+)
+HOMEBREW_OFFICIAL_REPO_PREFIXES_REGEX = T.let(/\A(home|linux)brew-/, Regexp)
diff --git a/Library/Homebrew/test/formula_spec.rb b/Library/Homebrew/test/formula_spec.rb
index 3175505bc6..9d8f5163f7 100644
--- a/Library/Homebrew/test/formula_spec.rb
+++ b/Library/Homebrew/test/formula_spec.rb
@@ -28,7 +28,7 @@ RSpec.describe Formula do
     let(:path) { Formulary.core_path(name) }
     let(:spec) { :stable }
     let(:alias_name) { "baz@1" }
-    let(:alias_path) { (CoreTap.instance.alias_dir/alias_name).to_s }
+    let(:alias_path) { CoreTap.instance.alias_dir/alias_name }
     let(:f) { klass.new(name, path, spec) }
     let(:f_alias) { klass.new(name, path, spec, alias_path: alias_path) }
 
@@ -190,11 +190,11 @@ RSpec.describe Formula do
     end
 
     alias_name = "bar"
-    alias_path = "#{CoreTap.instance.alias_dir}/#{alias_name}"
+    alias_path = CoreTap.instance.alias_dir/alias_name
     CoreTap.instance.alias_dir.mkpath
     FileUtils.ln_sf f.path, alias_path
 
-    f.build = Tab.new(source: { "path" => alias_path })
+    f.build = Tab.new(source: { "path" => alias_path.to_s })
 
     expect(f.installed_alias_path).to eq(alias_path)
     expect(f.installed_alias_name).to eq(alias_name)
@@ -225,12 +225,12 @@ RSpec.describe Formula do
     end
 
     alias_name = "bar"
+    alias_path = tap.alias_dir/alias_name
     full_alias_name = "#{tap.user}/#{tap.repo}/#{alias_name}"
-    alias_path = "#{tap.alias_dir}/#{alias_name}"
     tap.alias_dir.mkpath
     FileUtils.ln_sf f.path, alias_path
 
-    f.build = Tab.new(source: { "path" => alias_path })
+    f.build = Tab.new(source: { "path" => alias_path.to_s })
 
     expect(f.installed_alias_path).to eq(alias_path)
     expect(f.installed_alias_name).to eq(alias_name)
@@ -451,7 +451,7 @@ RSpec.describe Formula do
       FileUtils.ln_sf f.path, source_path
 
       expect(f.alias_path).to eq(alias_path)
-      expect(f.installed_alias_path).to eq(source_path.to_s)
+      expect(f.installed_alias_path).to eq(source_path)
     end
   end
 
@@ -491,14 +491,14 @@ RSpec.describe Formula do
     end
 
     specify "with alias path with a path" do
-      alias_path = "#{CoreTap.instance.alias_dir}/alias"
-      different_alias_path = "#{CoreTap.instance.alias_dir}/another_alias"
+      alias_path = CoreTap.instance.alias_dir/"alias"
+      different_alias_path = CoreTap.instance.alias_dir/"another_alias"
 
       formula_with_alias = formula "foo" do
         url "foo-1.0"
       end
       formula_with_alias.build = Tab.empty
-      formula_with_alias.build.source["path"] = alias_path
+      formula_with_alias.build.source["path"] = alias_path.to_s
 
       formula_without_alias = formula "bar" do
         url "bar-1.0"
@@ -510,7 +510,7 @@ RSpec.describe Formula do
         url "baz-1.0"
       end
       formula_with_different_alias.build = Tab.empty
-      formula_with_different_alias.build.source["path"] = different_alias_path
+      formula_with_different_alias.build.source["path"] = different_alias_path.to_s
 
       formulae = [
         formula_with_alias,
@@ -1239,8 +1239,8 @@ RSpec.describe Formula do
     end
 
     let(:tab) { Tab.empty }
-    let(:alias_path) { "#{CoreTap.instance.alias_dir}/bar" }
     let(:alias_name) { "bar" }
+    let(:alias_path) { CoreTap.instance.alias_dir/alias_name }
 
     before do
       allow(described_class).to receive(:installed).and_return([f])
@@ -1261,7 +1261,7 @@ RSpec.describe Formula do
     end
 
     specify "alias changes when not changed" do
-      tab.source["path"] = alias_path
+      tab.source["path"] = alias_path.to_s
       stub_formula_loader(f, alias_name)
 
       CoreTap.instance.alias_dir.mkpath
@@ -1276,7 +1276,7 @@ RSpec.describe Formula do
     end
 
     specify "alias changes when new alias target" do
-      tab.source["path"] = alias_path
+      tab.source["path"] = alias_path.to_s
       stub_formula_loader(new_formula, alias_name)
 
       CoreTap.instance.alias_dir.mkpath
@@ -1291,7 +1291,7 @@ RSpec.describe Formula do
     end
 
     specify "alias changes when old formulae installed" do
-      tab.source["path"] = alias_path
+      tab.source["path"] = alias_path.to_s
       stub_formula_loader(new_formula, alias_name)
 
       CoreTap.instance.alias_dir.mkpath
@@ -1332,8 +1332,8 @@ RSpec.describe Formula do
       end
     end
 
-    let(:alias_path) { "#{f.tap.alias_dir}/bar" }
     let(:alias_name) { "bar" }
+    let(:alias_path) { f.tap.alias_dir/alias_name }
 
     def setup_tab_for_prefix(prefix, options = {})
       prefix.mkpath
diff --git a/Library/Homebrew/test/formulary_spec.rb b/Library/Homebrew/test/formulary_spec.rb
index 9b2e7295ad..7d7535303b 100644
--- a/Library/Homebrew/test/formulary_spec.rb
+++ b/Library/Homebrew/test/formulary_spec.rb
@@ -111,7 +111,7 @@ RSpec.describe Formulary do
       it "raises an error" do
         expect do
           described_class.factory(formula_name)
-        end.to raise_error(FormulaClassUnavailableError)
+        end.to raise_error(TapFormulaClassUnavailableError)
       end
     end
 
@@ -139,7 +139,7 @@ RSpec.describe Formulary do
     context "when given an alias" do
       subject(:formula) { described_class.factory("foo") }
 
-      let(:alias_dir) { CoreTap.instance.alias_dir.tap(&:mkpath) }
+      let(:alias_dir) { CoreTap.instance.alias_dir }
       let(:alias_path) { alias_dir/"foo" }
 
       before do
@@ -152,7 +152,7 @@ RSpec.describe Formulary do
       end
 
       it "calling #alias_path on the returned Formula returns the alias path" do
-        expect(formula.alias_path).to eq(alias_path.to_s)
+        expect(formula.alias_path).to eq(alias_path)
       end
     end
 
@@ -229,23 +229,26 @@ RSpec.describe Formulary do
       let(:tap) { Tap.new("homebrew", "foo") }
       let(:another_tap) { Tap.new("homebrew", "bar") }
       let(:formula_path) { tap.path/"Formula/#{formula_name}.rb" }
+      let(:alias_name) { "bar" }
+      let(:alias_dir) { tap.alias_dir }
+      let(:alias_path) { alias_dir/alias_name }
+
+      before do
+        alias_dir.mkpath
+        FileUtils.ln_s formula_path, alias_path
+        tap.clear_cache
+      end
 
       it "returns a Formula when given a name" do
         expect(described_class.factory(formula_name)).to be_a(Formula)
       end
 
       it "returns a Formula from an Alias path" do
-        alias_dir = tap.path/"Aliases"
-        alias_dir.mkpath
-        FileUtils.ln_s formula_path, alias_dir/"bar"
-        expect(described_class.factory("bar")).to be_a(Formula)
+        expect(described_class.factory(alias_name)).to be_a(Formula)
       end
 
       it "returns a Formula from a fully qualified Alias path" do
-        alias_dir = tap.path/"Aliases"
-        alias_dir.mkpath
-        FileUtils.ln_s formula_path, alias_dir/"bar"
-        expect(described_class.factory("#{tap}/bar")).to be_a(Formula)
+        expect(described_class.factory("#{tap.name}/#{alias_name}")).to be_a(Formula)
       end
 
       it "raises an error when the Formula cannot be found" do