ci: sync Bazel MODULE.bazel files during browser update workflow

We need to update the lock files once the browsers get updated.

Author: alan-agius4

.github/workflows/rules_browser-update-browsers.yml

@@ -39,6 +39,9 @@ jobs:
         run: pnpm bazel run //browsers/private/update-tool
         working-directory: bazel/rules/rules_browsers
 
+      - name: Sync Bazel MODULE.bazel files
+        run: bash ./tools/sync-all-modules.sh
+
       - name: Create Pull Request
         uses: peter-evans/create-pull-request@5f6978faf089d4d20b00c7766989d076bb2fc7f1 # v8.1.1
         with: