Previously, the SDK path would result in the CLI setting the entrypoint
to 'sdk-ts' internally, while the non-SDK (CLI) path would correctly
set it to 'claude-code-github-action' based on the CLAUDE_CODE_ACTION
env var.
This change explicitly sets CLAUDE_CODE_ENTRYPOINT in both:
1. The action.yml env block (for consistency)
2. The SDK options env (to override the CLI's internal default)
The CLI respects pre-set entrypoint values, so this ensures consistent
user agent reporting for both execution paths.
🤖 Generated with [Claude Code](https://claude.ai/code)
Co-authored-by: Claude <noreply@anthropic.com>