Using RxList variable and trigger other RxList variable on GetxController streamBinding() with firebase

Question

I am using Firebase Firestore. and also GetxController, RxList, Streaming

First of all, I would like to describe my scenario roughly. In my scenario I am adding or removing the Clubs array in the player collection. This change I made is correctly reflected in the AccountController.clubs array variable. but the list from the readClubs method, where I pulled the details of the club information, is not updated. I am using the AccountController.clubs array list in the where condition in the readClubs() method. Although the array list is updated, the _clubs RxList variable and ClubController.clubs object list, where I keep the detailed club list, are not updated. I can see the correct values only when I restart the application I have shared the relevant branches below. I haven't shared the view codes because I can't see the correct values in the variables yet.

Data Model

//Players:
[
  {
    "playerUid":"1",
    "Name":"Ramazan",
    "Clubs":["1","2"]
  }
]

//Clubs:
[
  {
    "clubUid":"1",
    "Name":"Club1"
  },
  {
    "clubUid":"2",
    "Name":"Club2",
  },
  {
    "clubUid":"3",
    "Name":"Club3"
  }
]

AccountController

onInit() async {
  super.onInit();
  _loggedAccount.bindStream(Database.initAccount(uid));
}

final Rx<AccountModel> _loggedAccount = AccountModel().obs;
List<String> get clubs => _getPlayerCLubsUids();
AccountModel get loggedAccount => _loggedAccount.value;

List<String> _getPlayerCLubsUids() {
  List<String> clubUids = [];
  if (loggedAccount.clubs != null) {
    for (var e in loggedAccount.clubs!) {
      clubUids.add(e.uid);
    }
  }
  return clubUids;
}

ClubController

final RxList<ClubModel> _clubs = <ClubModel>[].obs;
List<ClubModel> get clubs => _getCLubs();

@override
void onInit() {
  super.onInit();
  _clubs.bindStream(Database.readClubs());
}

Database

static Stream<List<ClubModel>> readClubs() {
  if (AccountController.to.clubs.isNotEmpty) {
    return _firestore
        .collection('clubs')
        .where('uid', whereIn: AccountController.to.clubs)
        .snapshots()
        .map((QuerySnapshot query) {
          List<ClubModel> retVal = [];
          for (var element in query.docs) {
            retVal.add(ClubModel.fromSnapshot(element));
          }
        return retVal;
    });
  } else {
    return const Stream.empty();
  }
}

The part I think is causing the problem. in Database.read Clubs() because I have same matzot without where condition.

.where('uid', whereIn: AccountController.to.clubs)