fix: use update pipeline

[bhairaav]

No description provided.

[bhairaav]

Closing — superseded. Two issues with this PR:

1. The base branch (claude/study-auto-docs-ZIkbw) was already merged into main, so this PR no longer has a meaningful diff.
2. More importantly, the fix here is wrong for claude-code-base-action@beta. The @beta action does not accept OAuth tokens via anthropic_api_key — it has a dedicated input claude_code_oauth_token. Passing an OAuth token to anthropic_api_key produces exactly the error we hit:

Error: Either ANTHROPIC_API_KEY or CLAUDE_CODE_OAUTH_TOKEN is required

A new PR with the correct fix (using claude_code_oauth_token for the base action, keeping anthropic_api_key for claude-code-action@v1) will open against main.

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