Increase the pump duration for app connection in integration test (#6782)

diff --git a/packages/devtools_test/lib/src/integration_test/integration_test_utils.dart b/packages/devtools_test/lib/src/integration_test/integration_test_utils.dart
index 4a4d0f0..ee36040 100644
--- a/packages/devtools_test/lib/src/integration_test/integration_test_utils.dart
+++ b/packages/devtools_test/lib/src/integration_test/integration_test_utils.dart
@@ -129,7 +129,7 @@
       matching: find.byType(ElevatedButton),
     ),
   );
-  await tester.pumpAndSettle(safePumpDuration);
+  await tester.pumpAndSettle(longPumpDuration);
 }
 
 Future<void> disconnectFromTestApp(WidgetTester tester) async {