chore: Make claude review update a single comment

[ovitrif]

Description

• Enable use_sticky_comment in Claude review workflow to update the same comment instead of creating new ones on each push
• Update permissions from pull-requests: read to write for comment editing
• Update permissions from issues: read to write for sticky comment feature
• Remove manual gh pr comment instruction and tool from workflow (handled automatically by sticky comment)
• Add additional_permissions: "actions:read" input to let Claude read CI results
• Update claude.yml to allow Claude to create commits on implementation requests:
  • Change contents, pull-requests, issues permissions to write
  • Change fetch-depth to 0 for full git history
• Add "AI Code Review with Claude" documentation section to README.md with usage examples

Preview

N/A - workflow and docs changes.

QA Notes

• Verify the workflow action succeeds by confirming Claude still reviews.
• On next PR with multiple pushes, confirm Claude updates the existing review comment instead of adding new ones.
• Test @claude mention to verify it can create commits when requested.
• Check README renders correctly on GitHub with the new Contributing section.

[chatgpt-codex-connector]

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