diff --git a/.gitignore b/.gitignore
index 7e87d15850..b89793014d 100644
--- a/.gitignore
+++ b/.gitignore
@@ -70,7 +70,6 @@
 !**/vendor/bundle/ruby/*/gems/activesupport-*/lib/active_support/core_ext/hash/keys.rb
 !**/vendor/bundle/ruby/*/gems/activesupport-*/lib/active_support/core_ext/object/deep_dup.rb
 !**/vendor/bundle/ruby/*/gems/activesupport-*/lib/active_support/core_ext/object/duplicable.rb
-!**/vendor/bundle/ruby/*/gems/activesupport-*/lib/active_support/core_ext/string/exclude.rb
 
 # Ignore partially included gems where we don't need all files
 **/vendor/gems/mechanize-*/.*
diff --git a/Library/Homebrew/download_strategy.rb b/Library/Homebrew/download_strategy.rb
index 17ce9fac20..af8931b6fe 100644
--- a/Library/Homebrew/download_strategy.rb
+++ b/Library/Homebrew/download_strategy.rb
@@ -360,7 +360,7 @@ class AbstractFileDownloadStrategy < AbstractDownloadStrategy
       end
 
       if search_query && (uri_query = uri.query.presence)
-        components[:query] = URI.decode_www_form(uri_query).map { _1.fetch(1) }
+        components[:query] = URI.decode_www_form(uri_query).map { _2 }
       end
     else
       components[:path] = [url]
diff --git a/Library/Homebrew/vendor/bundle/ruby/3.1.0/gems/activesupport-6.1.7.6/lib/active_support/core_ext/string/exclude.rb b/Library/Homebrew/extend/string.rb
similarity index 71%
rename from Library/Homebrew/vendor/bundle/ruby/3.1.0/gems/activesupport-6.1.7.6/lib/active_support/core_ext/string/exclude.rb
rename to Library/Homebrew/extend/string.rb
index 8e462689f1..6beadc7272 100644
--- a/Library/Homebrew/vendor/bundle/ruby/3.1.0/gems/activesupport-6.1.7.6/lib/active_support/core_ext/string/exclude.rb
+++ b/Library/Homebrew/extend/string.rb
@@ -1,3 +1,4 @@
+# typed: strict
 # frozen_string_literal: true
 
 class String
@@ -7,7 +8,6 @@ class String
   #   "hello".exclude? "lo" # => false
   #   "hello".exclude? "ol" # => true
   #   "hello".exclude? ?h   # => false
-  def exclude?(string)
-    !include?(string)
-  end
+  sig { params(string: String).returns(T::Boolean) }
+  def exclude?(string) = !include?(string)
 end
diff --git a/Library/Homebrew/global.rb b/Library/Homebrew/global.rb
index 960817893f..830c263174 100644
--- a/Library/Homebrew/global.rb
+++ b/Library/Homebrew/global.rb
@@ -10,13 +10,10 @@ require "json/add/exception"
 require "forwardable"
 require "set"
 
-# Only require "core_ext" here to ensure we're only requiring the minimum of
-# what we need.
 require "active_support/core_ext/enumerable"
 require "active_support/core_ext/file/atomic"
 require "active_support/core_ext/hash/deep_merge"
 require "active_support/core_ext/hash/keys"
-require "active_support/core_ext/string/exclude"
 
 HOMEBREW_API_DEFAULT_DOMAIN = ENV.fetch("HOMEBREW_API_DEFAULT_DOMAIN").freeze
 HOMEBREW_BOTTLE_DEFAULT_DOMAIN = ENV.fetch("HOMEBREW_BOTTLE_DEFAULT_DOMAIN").freeze
@@ -71,6 +68,7 @@ HOMEBREW_BOTTLES_EXTNAME_REGEX = /\.([a-z0-9_]+)\.bottle\.(?:(\d+)\.)?tar\.gz$/
 
 require "extend/array"
 require "extend/blank"
+require "extend/string"
 require "env_config"
 require "macos_version"
 require "os"
diff --git a/Library/Homebrew/livecheck/strategy/gnu.rb b/Library/Homebrew/livecheck/strategy/gnu.rb
index 90c39af566..40b485274c 100644
--- a/Library/Homebrew/livecheck/strategy/gnu.rb
+++ b/Library/Homebrew/livecheck/strategy/gnu.rb
@@ -1,4 +1,4 @@
-# typed: true
+# typed: strict
 # frozen_string_literal: true
 
 module Homebrew
@@ -32,11 +32,11 @@ module Homebrew
         NICE_NAME = "GNU"
 
         # The `Regexp` used to determine if the strategy applies to the URL.
-        URL_MATCH_REGEX = %r{
+        URL_MATCH_REGEX = T.let(%r{
           ^https?://
           (?:(?:[^/]+?\.)*gnu\.org/(?:gnu|software)/(?<project_name>[^/]+)/
           |(?<project_name>[^/]+)\.gnu\.org/?$)
-        }ix
+        }ix.freeze, Regexp)
 
         # Whether the strategy can be applied to the provided URL.
         #