Considering that these responses are all the exact same two replies in wording, and that this is a task which could be easily automated without AI, I seriously doubt that it's going to be caused by actual inference.
This is just two github actions conflicting with each other, one that auto-labels with "status/need-triage" and the other that incorrectly sees gemini-cli as lacking the permission to do that.
The fix looks like it was https://github.com/google-gemini/gemini-cli/pull/16762 because the bot adding labels wasn't passing the org-level ownership check they used at first.