fix(ci): use PAT (GH_TOKEN) instead of GITHUB_TOKEN for recheck workflow (#6057)

Events created by GITHUB_TOKEN do not trigger other workflows (GitHub
design to prevent infinite loops). Switch to the repo's GH_TOKEN PAT
so close/reopen events properly trigger pr-quality-check.

https://claude.ai/code/session_01JcdbDdtERhAXFFZmu3pCVY

Co-authored-by: Claude <[email protected]>