Test and LKG before push in dep bump (#53151)

Author: jakebailey

.github/workflows/update-package-lock.yaml

@@ -20,13 +20,19 @@ jobs:
       with:
         node-version: 16
 
-    - name: Configure git and update package-lock.json
+    - name: Update package-lock.json and push
       run: |
-        git config user.email "typescriptbot@microsoft.com"
-        git config user.name "TypeScript Bot"
         rm package-lock.json
-        npm install --package-lock-only --ignore-scripts # This is a no-op if package-lock.json is present.
+        npm install
         git add -f package-lock.json
-        if git commit -m "Update package-lock.json"; then
+
+        if git diff --exit-code --name-only package-lock.json; then
+          echo "No change."
+        else
+          npm test
+          npx hereby lkg
+          git config user.email "typescriptbot@microsoft.com"
+          git config user.name "TypeScript Bot"
+          git commit -m "Update package-lock.json"
           git push
         fi