Fix lingering generated reference for MkDocs (#8658)

Missed this in #8652.

.github/workflows/ci.yaml

@@ -392,7 +392,7 @@ jobs:
         run: mkdocs build --strict -f mkdocs.insiders.yml
       - name: "Build docs"
         if: ${{ env.MKDOCS_INSIDERS_SSH_KEY_EXISTS != 'true' }}
-        run: mkdocs build --strict -f mkdocs.generated.yml
+        run: mkdocs build --strict -f mkdocs.public.yml
 
   check-formatter-instability-and-black-similarity:
     name: "formatter instabilities and black similarity"