Try to use NavigatorObserver to monitor navigation events and implement custom back navigation behavior

Add navigatorObservers: [MyNavigatorObserver()] to MaterialApp

class MyNavigatorObserver extends NavigatorObserver {
  @override
  void didPop(Route<dynamic> route, Route<dynamic>? previousRoute) {
    // Custom logic when a route is popped
    print('Route popped');
  }
}

Navigate to next page

   Navigator.push(
        context,
        MaterialPageRoute(builder: (context) => SecondPage()),
   );

Navigate back with icon back button

 Navigator.pop(context);