possibility to inject child tabs

app/lib/features/geckoview/domain/providers.dart

@@ -23,10 +23,8 @@ GeckoSelectionActionService selectionActionService(Ref ref) {
     service.setActions([
       SearchAction((text) async {
         final router = await ref.read(routerProvider.future);
-        final isCurrentPrivate =
-            ref.read(selectedTabStateProvider)?.isPrivate ?? false;
         final route = SearchRoute(
-          tabType: isCurrentPrivate ? TabType.private : TabType.regular,
+          tabType: ref.read(selectedTabTypeProvider) ?? TabType.regular,
           searchText: text,
         );
 

app/lib/features/geckoview/domain/providers.g.dart

@@ -7,7 +7,7 @@ part of 'providers.dart';
 // **************************************************************************
 
 String _$selectionActionServiceHash() =>
-    r'456bab83920ae78969bece514d5524e2445e06b6';
+    r'a3682b3f97d9798aadbca3be882d5be74085b762';
 
 /// See also [selectionActionService].
 @ProviderFor(selectionActionService)

app/lib/features/geckoview/domain/providers/tab_state.dart

@@ -6,6 +6,7 @@ import 'package:riverpod/riverpod.dart';
 import 'package:riverpod_annotation/riverpod_annotation.dart';
 import 'package:rxdart/rxdart.dart';
 import 'package:weblibre/core/logger.dart';
+import 'package:weblibre/core/routing/routes.dart';
 import 'package:weblibre/features/geckoview/domain/entities/states/find_result.dart';
 import 'package:weblibre/features/geckoview/domain/entities/states/history.dart';
 import 'package:weblibre/features/geckoview/domain/entities/states/readerable.dart';
@@ -204,3 +205,14 @@ TabState? selectedTabState(Ref ref) {
   final tabId = ref.watch(selectedTabProvider);
   return ref.watch(tabStateProvider(tabId));
 }
+
+@Riverpod()
+TabType? selectedTabType(Ref ref) {
+  final isPrivate = ref.watch(
+    selectedTabStateProvider.select((value) => value?.isPrivate),
+  );
+
+  return isPrivate.mapNotNull(
+    (isCurrentPrivate) => isCurrentPrivate ? TabType.private : TabType.regular,
+  );
+}

app/lib/features/geckoview/domain/providers/tab_state.g.dart

@@ -158,6 +158,23 @@ final selectedTabStateProvider = AutoDisposeProvider<TabState?>.internal(
 @Deprecated('Will be removed in 3.0. Use Ref instead')
 // ignore: unused_element
 typedef SelectedTabStateRef = AutoDisposeProviderRef<TabState?>;
+String _$selectedTabTypeHash() => r'53093fc6db8becde7500163661e087fb0a2eb955';
+
+/// See also [selectedTabType].
+@ProviderFor(selectedTabType)
+final selectedTabTypeProvider = AutoDisposeProvider<TabType?>.internal(
+  selectedTabType,
+  name: r'selectedTabTypeProvider',
+  debugGetCreateSourceHash: const bool.fromEnvironment('dart.vm.product')
+      ? null
+      : _$selectedTabTypeHash,
+  dependencies: null,
+  allTransitiveDependencies: null,
+);
+
+@Deprecated('Will be removed in 3.0. Use Ref instead')
+// ignore: unused_element
+typedef SelectedTabTypeRef = AutoDisposeProviderRef<TabType?>;
 String _$tabStatesHash() => r'e4d2f2b4ddd65beac8a1fd0d22bad1e0a26b41bd';
 
 /// See also [TabStates].