TF-4068 Add E2E test for select identity as default

integration_test/robots/identity_creator_robot.dart

@@ -0,0 +1,25 @@
+import 'package:core/presentation/views/text/text_field_builder.dart';
+import 'package:flutter/material.dart';
+
+import '../base/core_robot.dart';
+import '../extensions/patrol_finder_extension.dart';
+
+class IdentityCreatorRobot extends CoreRobot {
+  IdentityCreatorRobot(super.$);
+
+  Future<void> enterName(String name) async {
+    final finder = $(TextFieldBuilder).$(TextField);
+    final isTextFieldFocused = finder
+        .which<TextField>((view) => view.focusNode?.hasFocus ?? false)
+        .exists;
+    if (!isTextFieldFocused) {
+      await finder.tap();
+    }
+    await finder.enterTextWithoutTapAction(name);
+  }
+
+  Future<void> tapSaveIdentityButton() async {
+    await $.scrollUntilVisible(finder: $(#save_identity_button));
+    await $(#save_identity_button).tap();
+  }
+}

integration_test/robots/mailbox_menu_robot.dart

@@ -16,7 +16,7 @@ import 'package:tmail_ui_user/main/routes/route_navigation.dart';
 
 import '../base/core_robot.dart';
 import '../exceptions/mailbox/null_inbox_unread_count_exception.dart';
-import '../integration_test/exceptions/mailbox/null_quota_exception.dart';
+import '../exceptions/mailbox/null_quota_exception.dart';
 
 class MailboxMenuRobot extends CoreRobot {
   MailboxMenuRobot(super.$);

integration_test/robots/profiles_robot.dart

@@ -0,0 +1,30 @@
+import 'package:core/presentation/resources/image_paths.dart';
+import 'package:flutter/material.dart';
+import 'package:flutter_test/flutter_test.dart';
+import 'package:tmail_ui_user/features/manage_account/presentation/identities/widgets/identity_list_tile_builder.dart';
+
+import '../base/core_robot.dart';
+
+class ProfilesRobot extends CoreRobot {
+  ProfilesRobot(super.$);
+
+  Future<void> selectIdentityAsDefault(
+    String identityName,
+    ImagePaths imagePaths,
+  ) async {
+    await $.scrollUntilVisible(finder: $(identityName));
+
+    await $(IdentityListTileBuilder)
+        .which<IdentityListTileBuilder>(
+          (widget) {
+            return widget.identity.name == identityName;
+          },
+        )
+        .$(InkWell)
+        .tap();
+  }
+
+  Future<void> tapCreateNewIdentityButton() async {
+    await $(#create_new_identity_button).tap();
+  }
+}

integration_test/robots/setting_robot.dart

@@ -15,6 +15,10 @@ class SettingRobot extends CoreRobot {
     await $(#setting_preferences).tap();
   }
 
+  Future<void> openProfilesMenuItem() async {
+    await $(#setting_profiles).tap();
+  }
+
   Future<void> switchOnThreadSetting() async {
     final threadSettingOn = $(ValueKey(AppLocalizations().thread))
         .$(#setting_option_switch_on)