only run BIT trigger workflow when Build Browser workflow completes successfully (#16572)

Author: jprusik

.github/workflows/test-browser-interactions.yml

@@ -11,6 +11,7 @@ jobs:
   check-files:
     name: Check files
     runs-on: ubuntu-22.04
+    if: ${{ github.event.workflow_run.conclusion == 'success' }}
     permissions:
       actions: write
       contents: read