CI: Doxygen Docs workflow adjustments (#6194)

* Manual trigger, branch name fix, rename yml

* Update documentation-build.yml

* Run on changes to file but only deploy on tags

* Update documentation-build.yml

.github/workflows/generate-and-publish-docs.yml

@@ -1,29 +0,0 @@
-name: Generate and Deploy Doxygen Docs
-
-on:
-  push:
-    tags:
-      - '*' # Only re-generate docs when a new version is pushed
-
-jobs:
-  docs:
-    runs-on: ubuntu-latest
-
-    steps:
-      - name: Checkout code
-        uses: actions/checkout@v5
-
-      - name: Install Doxygen and Graphviz
-        run: sudo apt-get install -y doxygen graphviz
-
-      - name: Generate Documentation
-        run: doxygen Doxyfile
-
-      - name: Deploy to cockatrice.github.io
-        uses: peaceiris/actions-gh-pages@v3
-        with:
-          deploy_key: ${{ secrets.DOCS_DEPLOY_KEY }}
-          external_repository: Cockatrice/cockatrice.github.io
-          publish_branch: main
-          publish_dir: ./docs/html
-          destination_dir: docs   # Docs will live under https://cockatrice.github.io/docs/