[integration_test] Fix official example for Android (#98162)

diff --git a/packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/EmbedderV1ActivityTest.java b/packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/EmbedderV1ActivityTest.java
deleted file mode 100644
index cf63d2f..0000000
--- a/packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/EmbedderV1ActivityTest.java
+++ /dev/null
@@ -1,17 +0,0 @@
-// Copyright 2014 The Flutter Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style license that can be
-// found in the LICENSE file.
-
-package com.example.integration_test_example;
-
-import androidx.test.rule.ActivityTestRule;
-import dev.flutter.plugins.integration_test.FlutterTestRunner;
-import org.junit.Rule;
-import org.junit.runner.RunWith;
-
-@RunWith(FlutterTestRunner.class)
-public class EmbedderV1ActivityTest {
-  @Rule
-  public ActivityTestRule<EmbedderV1Activity> rule =
-      new ActivityTestRule<>(EmbedderV1Activity.class, true, false);
-}
diff --git a/packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/FlutterActivityTest.java b/packages/integration_test/example/android/app/src/androidTest/java/com/example/integration_test_example/FlutterActivityTest.java
similarity index 100%
rename from packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/FlutterActivityTest.java
rename to packages/integration_test/example/android/app/src/androidTest/java/com/example/integration_test_example/FlutterActivityTest.java
diff --git a/packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/FlutterActivityWithPermissionTest.java b/packages/integration_test/example/android/app/src/androidTest/java/com/example/integration_test_example/FlutterActivityWithPermissionTest.java
similarity index 100%
rename from packages/integration_test/example/android/app/src/androidTest/java/com/example/e2e_example/FlutterActivityWithPermissionTest.java
rename to packages/integration_test/example/android/app/src/androidTest/java/com/example/integration_test_example/FlutterActivityWithPermissionTest.java