How to push open a page from a notification flutter

I have my method that loads firebase cloud messaging and listens for incoming messages as follows.

void loadFCM() async {
    if (!kIsWeb) {
      channel = const AndroidNotificationChannel(
        'high_importance_channel', // id
        'High Importance Notifications', // title
        importance: Importance.high,
        enableVibration: true,
      );

  flutterLocalNotificationsPlugin = FlutterLocalNotificationsPlugin();

  /// Create an Android Notification Channel.
  ///
  /// We use this channel in the `AndroidManifest.xml` file to override the
  /// default FCM channel to enable heads up notifications.
  await flutterLocalNotificationsPlugin
      .resolvePlatformSpecificImplementation<
          AndroidFlutterLocalNotificationsPlugin>()
      ?.createNotificationChannel(channel);

  /// Update the iOS foreground notification presentation options to allow
  /// heads up notifications.
  await FirebaseMessaging.instance
      .setForegroundNotificationPresentationOptions(
    alert: true,
    badge: true,
    sound: true,
  );
}
}



void listenFCM() async {
    FirebaseMessaging.onMessage.listen((RemoteMessage message) {
      RemoteNotification? notification = message.notification;
      AndroidNotification? android = message.notification?.android;
      if (notification != null && android != null && !kIsWeb) {
        flutterLocalNotificationsPlugin.show(
          notification.hashCode,
          notification.title,
          notification.body,
          NotificationDetails(
            android: AndroidNotificationDetails(
              channel.id,
              channel.name,
              icon: 'launch_background',
            ),
          ),
        );
if (message.data['screen'] == 'chat') {
          Navigator.of(context).push(
            MaterialPageRoute(
              builder: (context) => ChatScreen(
                uid: message.data['uid'],
              ),
            ),
          );
        }
      }
    });
  }

As seen I'm storing the screen I want in the data of the screen I want when I send the message and have code in the listenFCM function to attempt to change the screen but it wont work, I receive the notification but dont change screen. I'm currently using this method to send a message to a specific user

void sendPushMessage(String token, String body, String title) async {
    try {
      await http.post(
        Uri.parse('https://fcm.googleapis.com/fcm/send'),
        headers: <String, String>{
          'Content-Type': 'application/json',
          'Authorization': 'key=${api}',
        },
        body: jsonEncode(
          <String, dynamic>{
            'notification': <String, dynamic>{'body': body, 'title': title},
            'priority': 'high',
            'data': <String, dynamic>{
              'click_action': 'FLUTTER_NOTIFICATION_CLICK',
              'id': '1',
              'status': 'done'
              'screen': 'chat'
            },
            "to": token,
          },
        ),
      );
    } catch (e) {
      print("error push notification");
    }
  }

Im trying to modify it so I can send a push notification they open a chat page. it would be a chat(userid) sort of thing but I dont want to send the chatId in the body of the notification or anything so how can I have my app push open my chat page when tapped from app close/open etc, Thanks for reading!