diff --git a/Library/Homebrew/exceptions.rb b/Library/Homebrew/exceptions.rb
index 3845ce1d7c..662b9f200a 100644
--- a/Library/Homebrew/exceptions.rb
+++ b/Library/Homebrew/exceptions.rb
@@ -479,7 +479,7 @@ class BuildError < RuntimeError
     params(
       formula: T.nilable(Formula),
       cmd:     T.any(String, Pathname),
-      args:    T::Array[T.any(String, Pathname, Integer)],
+      args:    T::Array[T.any(String, Integer, Pathname, Symbol)],
       env:     T::Hash[String, T.untyped],
     ).void
   }
diff --git a/Library/Homebrew/formula.rb b/Library/Homebrew/formula.rb
index caffdb1c87..b764cfb5d9 100644
--- a/Library/Homebrew/formula.rb
+++ b/Library/Homebrew/formula.rb
@@ -2629,7 +2629,7 @@ class Formula
   #
   # # If there is a "make install" available, please use it!
   # system "make", "install"</pre>
-  sig { params(cmd: T.any(String, Pathname), args: T.any(String, Pathname, Integer)).void }
+  sig { params(cmd: T.any(String, Pathname), args: T.any(String, Integer, Pathname, Symbol)).void }
   def system(cmd, *args)
     verbose_using_dots = Homebrew::EnvConfig.verbose_using_dots?
 
@@ -2794,7 +2794,7 @@ class Formula
   end
 
   # Runs `xcodebuild` without Homebrew's compiler environment variables set.
-  sig { params(args: T.any(String, Pathname)).void }
+  sig { params(args: T.any(String, Integer, Pathname, Symbol)).void }
   def xcodebuild(*args)
     removed = ENV.remove_cc_etc
 
diff --git a/Library/Homebrew/test/exceptions_spec.rb b/Library/Homebrew/test/exceptions_spec.rb
index 3921f2c2e4..a56fbb914c 100644
--- a/Library/Homebrew/test/exceptions_spec.rb
+++ b/Library/Homebrew/test/exceptions_spec.rb
@@ -141,11 +141,11 @@ describe "Exception" do
   end
 
   describe BuildError do
-    subject { described_class.new(formula, "badprg", %w[arg1 arg2], {}) }
+    subject { described_class.new(formula, "badprg", ["arg1", 2, Pathname.new("arg3"), :arg4], {}) }
 
     let(:formula) { instance_double(Formula, name: "foo") }
 
-    its(:to_s) { is_expected.to eq("Failed executing: badprg arg1 arg2") }
+    its(:to_s) { is_expected.to eq("Failed executing: badprg arg1 2 arg3 arg4") }
   end
 
   describe OperationInProgressError do