cmd/tab: sync installed_as_dependency when changing installed_on_request

When marking a formula as not installed on request, also set
installed_as_dependency to true, to ensure brew bundle dump
correctly excludes it. Previously, brew tab --no-installed-on-request
had no effect on bundle dump because the dump logic checks both

Fixes #21751

Author: ooye-sanket

Library/Homebrew/cmd/tab.rb

@@ -78,6 +78,7 @@ def update_tab(formula_or_cask, installed_on_request:)
         end
 
         tab.installed_on_request = installed_on_request
+        tab.installed_as_dependency = !installed_on_request if formula_or_cask.is_a?(Formula)
         tab.write
         ohai "#{name} is now marked as #{installed_on_request_str}."
       end