ci: use BOT_CLIENT_ID secret for the app token

[joryirving]

Completes the BOT_APP_ID → BOT_CLIENT_ID migration started in the v1.2.2 upgrade PR — this was the remaining reference outside the AI-review workflow.

🤖 Generated with Claude Code

[its-saffron]

AI Automated Review

Full PR review.

Analysis engine: review@https://litellm.jory.dev/v1 (openai)

Recommendation

Approved. This is a documentation update to align the AI review rules with the ongoing migration of GitHub App credentials.

Change-by-change findings

• .github/ai-review-rules.md: Updated the documentation table to replace the deprecated BOT_APP_ID with BOT_CLIENT_ID. This correctly reflects the credential name used for the GitHub App client ID in the current CI configuration.

Standards Compliance

• Repository Standards: The change is purely documentation-based and does not affect the game logic or core UX constraints defined in AGENTS.md.
• CI/CD: The change aligns with the migration mentioned in the PR description, ensuring the documentation accurately describes the secrets required for the AI review workflow.

Linked Issue Fit

• The PR body notes this completes a migration started in a previous PR (v1.2.2 upgrade), ensuring consistency across the repository's documentation and CI configuration.