docs: Fix docs publish CI failing on main (#3411)

.github/workflows/publish-docs.yml

@@ -10,7 +10,18 @@ jobs:
     name: Publish Docs to Github Pages
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v4
+      - name: Run preparatory steps
+        uses: dasch-swiss/dsp-api/.github/actions/preparation@main
+      - name: Install Just
+        uses: taiki-e/install-action@just
+      - name: Install Python
+        uses: actions/setup-python@v2
+        with:
+          python-version: '3.13'
+      - name: Install Graphviz
+        run: sudo apt-get install graphviz
+      - name: Prepare docs
+        run: just docs-build-dependent
       - name: Deploy docs
         uses: mhausenblas/mkdocs-deploy-gh-pages@master
         env: