diff --git a/Library/Homebrew/test/language/perl/shebang_spec.rb b/Library/Homebrew/test/language/perl/shebang_spec.rb
index 4d6a1fd579..89b9b7dc56 100644
--- a/Library/Homebrew/test/language/perl/shebang_spec.rb
+++ b/Library/Homebrew/test/language/perl/shebang_spec.rb
@@ -35,7 +35,7 @@ describe Language::Perl::Shebang do
     it "can be used to replace Perl shebangs" do
       allow(Formulary).to receive(:factory)
       allow(Formulary).to receive(:factory).with(perl_f.name).and_return(perl_f)
-      Utils::Shebang.rewrite_shebang described_class.detected_perl_shebang(f), file
+      Utils::Shebang.rewrite_shebang described_class.detected_perl_shebang(f), file.path
 
       expected_shebang = if OS.mac?
         "/usr/bin/perl#{MacOS.preferred_perl_version}"
diff --git a/Library/Homebrew/test/language/python/shebang_spec.rb b/Library/Homebrew/test/language/python/shebang_spec.rb
index 9d191f1b92..0f729a70fa 100644
--- a/Library/Homebrew/test/language/python/shebang_spec.rb
+++ b/Library/Homebrew/test/language/python/shebang_spec.rb
@@ -35,7 +35,9 @@ describe Language::Python::Shebang do
     it "can be used to replace Python shebangs" do
       allow(Formulary).to receive(:factory)
       allow(Formulary).to receive(:factory).with(python_f.name).and_return(python_f)
-      Utils::Shebang.rewrite_shebang described_class.detected_python_shebang(f, use_python_from_path: false), file
+      Utils::Shebang.rewrite_shebang(
+        described_class.detected_python_shebang(f, use_python_from_path: false), file.path
+      )
 
       expect(File.read(file)).to eq <<~EOS
         #!#{HOMEBREW_PREFIX}/opt/python@3.11/bin/python3.11
@@ -46,7 +48,9 @@ describe Language::Python::Shebang do
     end
 
     it "can be pointed to a `python3` in PATH" do
-      Utils::Shebang.rewrite_shebang described_class.detected_python_shebang(f, use_python_from_path: true), file
+      Utils::Shebang.rewrite_shebang(
+        described_class.detected_python_shebang(f, use_python_from_path: true), file.path
+      )
 
       expect(File.read(file)).to eq <<~EOS
         #!/usr/bin/env python3
diff --git a/Library/Homebrew/utils/inreplace.rb b/Library/Homebrew/utils/inreplace.rb
index 354b11c8f7..50ff78f80b 100644
--- a/Library/Homebrew/utils/inreplace.rb
+++ b/Library/Homebrew/utils/inreplace.rb
@@ -20,6 +20,8 @@ module Utils
       end
     end
 
+    module_function
+
     # Sometimes we have to change a bit before we install. Mostly we
     # prefer a patch, but if you need the {Formula#prefix prefix} of
     # this formula in the patch you have to resort to `inreplace`,
@@ -45,7 +47,7 @@ module Utils
         audit_result: T::Boolean,
       ).void
     }
-    def self.inreplace(paths, before = nil, after = nil, audit_result = true) # rubocop:disable Style/OptionalBooleanParameter
+    def inreplace(paths, before = nil, after = nil, audit_result = true) # rubocop:disable Style/OptionalBooleanParameter
       after = after.to_s if after.is_a? Symbol
 
       errors = {}
@@ -71,7 +73,7 @@ module Utils
     end
 
     # @api private
-    def self.inreplace_pairs(path, replacement_pairs, read_only_run: false, silent: false)
+    def inreplace_pairs(path, replacement_pairs, read_only_run: false, silent: false)
       str = File.binread(path)
       contents = StringInreplaceExtension.new(str)
       replacement_pairs.each do |old, new|
diff --git a/Library/Homebrew/utils/inreplace.rbi b/Library/Homebrew/utils/inreplace.rbi
new file mode 100644
index 0000000000..02542091d2
--- /dev/null
+++ b/Library/Homebrew/utils/inreplace.rbi
@@ -0,0 +1,7 @@
+# typed: strict
+
+module Utils
+  module Inreplace
+    include Kernel
+  end
+end
diff --git a/Library/Homebrew/utils/shebang.rb b/Library/Homebrew/utils/shebang.rb
index 22cf7f2c62..7ce5a56284 100644
--- a/Library/Homebrew/utils/shebang.rb
+++ b/Library/Homebrew/utils/shebang.rb
@@ -8,6 +8,8 @@ module Utils
   module Shebang
     extend T::Sig
 
+    module_function
+
     # Specification on how to rewrite a given shebang.
     #
     # @api private
@@ -30,8 +32,8 @@ module Utils
     #   rewrite_shebang detected_python_shebang, bin/"script.py"
     #
     # @api public
-    sig { params(rewrite_info: RewriteInfo, paths: T::Array[T.any(String, Pathname)]).void }
-    def self.rewrite_shebang(rewrite_info, *paths)
+    sig { params(rewrite_info: RewriteInfo, paths: T.any(String, Pathname)).void }
+    def rewrite_shebang(rewrite_info, *paths)
       paths.each do |f|
         f = Pathname(f)
         next unless f.file?
diff --git a/Library/Homebrew/utils/shebang.rbi b/Library/Homebrew/utils/shebang.rbi
new file mode 100644
index 0000000000..9cdb0b2007
--- /dev/null
+++ b/Library/Homebrew/utils/shebang.rbi
@@ -0,0 +1,7 @@
+# typed: strict
+
+module Utils
+  module Shebang
+    include Kernel
+  end
+end
diff --git a/Library/Homebrew/utils/shell.rb b/Library/Homebrew/utils/shell.rb
index c27dac0562..4fe444be02 100644
--- a/Library/Homebrew/utils/shell.rb
+++ b/Library/Homebrew/utils/shell.rb
@@ -5,10 +5,12 @@ module Utils
   module Shell
     extend T::Sig
 
+    module_function
+
     # Take a path and heuristically convert it to a shell name,
     # return `nil` if there's no match.
     sig { params(path: String).returns(T.nilable(Symbol)) }
-    def self.from_path(path)
+    def from_path(path)
       # we only care about the basename
       shell_name = File.basename(path)
       # handle possible version suffix like `zsh-5.2`
@@ -17,23 +19,23 @@ module Utils
     end
 
     sig { params(default: String).returns(String) }
-    def self.preferred_path(default: "")
+    def preferred_path(default: "")
       ENV.fetch("SHELL", default)
     end
 
     sig { returns(T.nilable(Symbol)) }
-    def self.preferred
+    def preferred
       from_path(preferred_path)
     end
 
     sig { returns(T.nilable(Symbol)) }
-    def self.parent
+    def parent
       from_path(`ps -p #{Process.ppid} -o ucomm=`.strip)
     end
 
     # Quote values. Quoting keys is overkill.
     sig { params(key: String, value: String, shell: T.nilable(Symbol)).returns(T.nilable(String)) }
-    def self.export_value(key, value, shell = preferred)
+    def export_value(key, value, shell = preferred)
       case shell
       when :bash, :ksh, :mksh, :sh, :zsh
         "export #{key}=\"#{sh_quote(value)}\""
@@ -49,7 +51,7 @@ module Utils
 
     # Return the shell profile file based on user's preferred shell.
     sig { returns(String) }
-    def self.profile
+    def profile
       case preferred
       when :bash
         bash_profile = "#{Dir.home}/.bash_profile"
@@ -62,7 +64,7 @@ module Utils
     end
 
     sig { params(variable: String, value: String).returns(T.nilable(String)) }
-    def self.set_variable_in_profile(variable, value)
+    def set_variable_in_profile(variable, value)
       case preferred
       when :bash, :ksh, :sh, :zsh, nil
         "echo 'export #{variable}=#{sh_quote(value)}' >> #{profile}"
@@ -74,7 +76,7 @@ module Utils
     end
 
     sig { params(path: String).returns(T.nilable(String)) }
-    def self.prepend_path_in_profile(path)
+    def prepend_path_in_profile(path)
       case preferred
       when :bash, :ksh, :mksh, :sh, :zsh, nil
         "echo 'export PATH=\"#{sh_quote(path)}:$PATH\"' >> #{profile}"
@@ -99,7 +101,7 @@ module Utils
     UNSAFE_SHELL_CHAR = %r{([^A-Za-z0-9_\-.,:/@~\n])}.freeze
 
     sig { params(str: String).returns(String) }
-    def self.csh_quote(str)
+    def csh_quote(str)
       # ruby's implementation of shell_escape
       str = str.to_s
       return "''" if str.empty?
@@ -113,7 +115,7 @@ module Utils
     end
 
     sig { params(str: String).returns(String) }
-    def self.sh_quote(str)
+    def sh_quote(str)
       # ruby's implementation of shell_escape
       str = str.to_s
       return "''" if str.empty?
diff --git a/Library/Homebrew/utils/shell.rbi b/Library/Homebrew/utils/shell.rbi
new file mode 100644
index 0000000000..b860bc1190
--- /dev/null
+++ b/Library/Homebrew/utils/shell.rbi
@@ -0,0 +1,7 @@
+# typed: strict
+
+module Utils
+  module Shell
+    include Kernel
+  end
+end