FR-18979: Added Log out test

example/integration_test/src/logout_test.dart

@@ -0,0 +1,39 @@
+import 'package:flutter/material.dart';
+import 'package:flutter_test/flutter_test.dart';
+import 'package:frontegg_flutter_example/main.dart';
+import 'package:patrol/patrol.dart';
+
+import '../fixtures/const.dart';
+
+void main() {
+  patrolTest(
+    'Success Logout',
+    ($) async {
+      await $.pumpWidget(const MyApp());
+      await $.pumpAndSettle();
+
+      await $.tap(find.byKey(const ValueKey("LoginButton")));
+      await Future.delayed(const Duration(seconds: 5));
+
+      await $.native.enterTextByIndex(
+        loginEmail,
+        index: 0,
+        keyboardBehavior: KeyboardBehavior.alternative,
+      );
+
+      await $.native.enterTextByIndex(
+        loginPassword,
+        index: 1,
+        keyboardBehavior: KeyboardBehavior.alternative,
+      );
+
+      await $.native.tap(Selector(text: "Sign in"));
+
+      await $.waitUntilVisible(find.text("Logout"));
+
+      await $.tap(find.byKey(const ValueKey("LogoutButton")));
+      await $.pumpAndSettle();
+      await $.waitUntilVisible(find.text("Not Authenticated"));
+    },
+  );
+}