fix: Enable automatic Docker workflow triggering with PAT token

- Replace GITHUB_TOKEN with PAT in auto-version workflow to allow triggering subsequent workflows
- Improve Docker workflow README update logic to handle repository_dispatch events properly
- Add support for manual Docker builds with latest tag updates
- Fix condition logic for when to update README.md documentation

This resolves the issue where fix: prefixed PRs created tags but didn't trigger Docker builds,
ensuring complete automation flow from PR merge → version bump → Docker build → README update.

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

Co-Authored-By: Claude <noreply@anthropic.com>

.github/workflows/auto-version.yml

@@ -19,7 +19,7 @@ jobs:
       uses: actions/checkout@v4
       with:
         fetch-depth: 0
-        token: ${{ secrets.GITHUB_TOKEN }}
+        token: ${{ secrets.PAT }}
     
     - name: Setup Python
       uses: actions/setup-python@v4