fix: claude review forked branches with PAT token

[priyansh4320]

Why are these changes needed?

This PR changes the the job from using github token to PAT

Related issue number

#2200

Checks

• I've included any doc changes needed for https://docs.ag2.ai/. See https://docs.ag2.ai/latest/docs/contributor-guide/documentation/ to build and test documentation locally.
• I've added tests (if relevant) corresponding to the changes introduced in this PR.
• I've made sure all auto checks have passed.

[joggrbot]

📝 Documentation Analysis

All docs are up to date! 🎉

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
see 19 files with indirect coverage changes

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