Jules agents cannot git push due to sandbox restrictions, which breaks the
draft PR-based distributed lock mechanism. Multiple agents can pick up the
same task because the claim is never visible remotely.
This adds scripts/agent/claim-task-api.sh which creates the remote branch,
started.md log file, and draft PR entirely via curl and the GitHub REST API,
bypassing git push. The scheduler-flow.md, META_PROMPTS.md, and AGENTS.md
are updated to document the fallback: try git push first, fall back to the
API script if push is blocked, fail-closed if neither method works.
https://claude.ai/code/session_01BpDsVSAkVWtJLnfKxsB9ib
