[FIX] Trigger publish workflow from auto-release (#21) (#22)

## Description

Fix the auto-publish chain where `publish.yml` was not triggered after
`auto-release.yml` created a GitHub release. This is because GitHub
Actions events created by `GITHUB_TOKEN` don't trigger other workflows,
but `workflow_dispatch` is an exception to this limitation.

## Type of Change

- [x] Bug fix

## Changes Made

- Added `workflow_dispatch:` trigger to `publish.yml` so it can be
invoked via `gh workflow run`
- Added a "Trigger publish workflow" step in `auto-release.yml` that
runs `gh workflow run publish.yml` after creating a release, using the
same condition (`steps.check_tag.outputs.exists == 'false'`)

## Related Issues

Closes #21

## Testing

- [x] Manual review of workflow YAML syntax
- [x] Verified the `workflow_dispatch` trigger is a known exception to
the GITHUB_TOKEN limitation

## Checklist

- [x] My code follows the project's code style
- [x] I have performed a self-review of my code
- [x] My changes generate no new warnings

Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: IISweetHeartII

.github/workflows/auto-release.yml

@@ -34,3 +34,10 @@ jobs:
           tag_name: v${{ steps.version.outputs.version }}
           name: v${{ steps.version.outputs.version }}
           generate_release_notes: true
+      - name: Trigger publish workflow
+        if: steps.check_tag.outputs.exists == 'false'
+        env:
+          GH_TOKEN: ${{ github.token }}
+        run: |
+          gh workflow run publish.yml
+          echo "✅ Publish workflow triggered"

.github/workflows/publish.yml

@@ -3,6 +3,7 @@ name: Publish to PyPI
 on:
   release:
     types: [published]
+  workflow_dispatch:
 
 permissions:
   id-token: write