fix: publish HTML-only on CI for course site

Author: PhilippPelz

.github/workflows/publish.yml

@@ -32,9 +32,14 @@ jobs:
           version: pre-release
           tinytex: true
 
-      - name: Render and Publish
+      - name: Render HTML
+        run: quarto render index.qmd --to html
+
+      - name: Publish to GitHub Pages
         uses: quarto-dev/quarto-actions/publish@v2
         with:
           target: gh-pages
+          path: _manuscript
+          render: false
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}