chore: bump claude-code-action to v1.0.16

Upgrade anthropics/claude-code-action from @beta to @v1.0.16

This update includes:
- Stable v1.0 release with improved mode detection
- Better SDK alignment with Claude Code CLI
- Enhanced compatibility and bug fixes

Latest release: October 30, 2024
Changelog: https://github.com/anthropics/claude-code-action/releases/tag/v1.0.16

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <[email protected]>

Author: joseph-isaacs

.github/workflows/claude.yml

@@ -37,7 +37,7 @@ jobs:
 
       - name: Run Claude Code
         id: claude
-        uses: anthropics/claude-code-action@beta
+        uses: anthropics/claude-code-action@v1.0.16
         with:
           claude_code_oauth_token: ${{ secrets.CLAUDE_CODE_OAUTH_TOKEN }}