Phase 6: E2E Test

- Update scripts/e2e.sh to start worker alongside backend
- Create frontend/e2e/random-jobs.spec.ts with 3 tests:
  - Counter increment creates random job outcome visible to admin
  - Admin can view empty random jobs list
  - Regular user cannot access random jobs page

scripts/e2e.sh

@@ -23,7 +23,11 @@ cd ..
 # Start backend (SECRET_KEY should be set via .envrc or environment)
 cd backend
 uv run uvicorn main:app --port 8000 --log-level warning &
-PID=$!
+BACKEND_PID=$!
+
+# Start worker for job processing
+uv run python worker.py &
+WORKER_PID=$!
 cd ..
 
 # Wait for backend
@@ -46,7 +50,8 @@ fi
 EXIT_CODE=$?
 
 # Cleanup
-kill $PID 2>/dev/null || true
+kill $BACKEND_PID 2>/dev/null || true
+kill $WORKER_PID 2>/dev/null || true
 
 exit $EXIT_CODE