Move package:integration_test to flutter/flutter (#69622)

diff --git a/dev/bots/analyze.dart b/dev/bots/analyze.dart
index 3449c3e..9e60c46 100644
--- a/dev/bots/analyze.dart
+++ b/dev/bots/analyze.dart
@@ -270,6 +270,7 @@
   'package:flutter_test/flutter_test.dart',
   'hit_test.dart',
   'package:test_api/src/backend/live_test.dart',
+  'package:integration_test/integration_test.dart',
 };
 
 Future<void> verifyNoTestImports(String workingDirectory) async {