refactor container selection pattern and improve search UI

app/lib/features/sync/domain/repositories/sync.dart

@@ -1,11 +1,11 @@
 import 'dart:async';
 
 import 'package:collection/collection.dart';
-import 'package:drift/drift.dart';
 import 'package:flutter_mozilla_components/flutter_mozilla_components.dart';
 import 'package:hooks_riverpod/hooks_riverpod.dart';
 import 'package:riverpod_annotation/riverpod_annotation.dart';
 import 'package:weblibre/core/logger.dart';
+import 'package:weblibre/features/geckoview/domain/entities/tab_container_selection.dart';
 import 'package:weblibre/features/geckoview/domain/repositories/tab.dart';
 import 'package:weblibre/features/geckoview/features/tabs/domain/repositories/container.dart';
 import 'package:weblibre/features/sync/domain/entities/sync_repository_state.dart';
@@ -282,7 +282,9 @@ class SyncRepository extends _$SyncRepository {
           url: uri,
           selectTab: true,
           private: false,
-          container: Value(assignedContainer),
+          containerSelection: assignedContainer == null
+              ? const TabContainerSelection.unassigned()
+              : TabContainerSelection.specific(assignedContainer),
         );
   }
 

app/lib/features/sync/domain/repositories/sync.g.dart

@@ -336,7 +336,7 @@ final class SyncRepositoryProvider
   SyncRepository create() => SyncRepository();
 }
 
-String _$syncRepositoryHash() => r'5312aed1abf60ce3e04afa7d2f60b38367c09312';
+String _$syncRepositoryHash() => r'5bfe6deacfea9b14981a0b9769857f23b7dd478c';
 
 abstract class _$SyncRepository extends $AsyncNotifier<SyncRepositoryState> {
   FutureOr<SyncRepositoryState> build();