Allow proof nudges to comment on PRs

[Takhoffman]

Summary

• request pull-requests write permission for the proof-nudge target App token
• assert the workflow keeps that permission in the proof-nudge workflow guard test

Why

The targeted execute run for the planned proof nudges failed before posting the first comment with HTTP 403: Resource not accessible by integration on POST /repos/openclaw/openclaw/issues/71563/comments. The existing proof-nudge token had issues:write but only pull-requests:read, while the active comment-capable repair lanes request pull-requests:write for PR targets.

Failed execute run: https://github.com/openclaw/clawsweeper/actions/runs/26827458777

Validation

• node --test --test-name-pattern "proof nudge workflow" test/clawsweeper.test.ts
• pnpm run format:check

[clawsweeper]

ClawSweeper status: review started.

I am starting a fresh review of this pull request: Allow proof nudges to comment on PRs This is item 1/1 in the current shard. Shard 0/1.

This placeholder means the worker is alive and reading the current context. I will edit this same comment with the actual review when the claws are done clicking.

Crustacean status: shell secured, claws on keyboard, evidence pebbles being sorted.