[8.0] Backport labeling workflow changes #112241
                
     Merged
            
            
          
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cc @jeffhandley
Backporting #112169 and #112161
Infra only, tell-mode.
Backporting to the release/9.0 branch so it can flow to release/9.0-staging automatically at any time.
I discussed the functionality with @jeffhandley via chat, and we should not expect the pull_request_target change to work in this PR at the moment. It will start working after this is merged.