Test no syndication changes build

.github/workflows/publish.yml

@@ -58,6 +58,23 @@ jobs:
             --cacheDir /tmp/hugo/cache \
             --minify \
             --baseURL "https://www.byjp.me"
+      - name: Syndicate
+        run: |
+          cd tools/syndicate
+          go run .
+          if git diff-index --quiet HEAD; then
+            echo "No syndication changes made"
+          elif
+            echo "Committing syndication changes"
+            git config --global user.email "github-actions[bot]@users.noreply.github.com"
+            git config --global user.name "Syndicate[bot]"
+            git commit -am "Syndicated post references"
+            git push
+            // TODO: Do not upload, but without failing
+            exit 1
+          fi
+      - name: Build search index
+        run: |
           # Build the search index
           npm_config_yes=true npx pagefind@latest
       - name: Upload artifact