Refactor settings to use FirebaseAuth for sign out

Replaces the previous mock-based authentication in client settings with FirebaseAuth for sign out functionality. Updates dependencies and imports accordingly, and adds firebase_auth to the settings package and firebase_core to the client app. Also includes minor Dart type improvements and dependency reordering.

apps/mobile/apps/client/lib/main.dart

@@ -20,10 +20,10 @@ void main() async {
 /// The main application module for the Client app.
 class AppModule extends Module {
   @override
-  List<Module> get imports => [core_localization.LocalizationModule()];
+  List<Module> get imports => <Module>[core_localization.LocalizationModule()];
 
   @override
-  void routes(r) {
+  void routes(RouteManager r) {
     // Initial route points to the client authentication flow
     r.module('/', module: client_authentication.ClientAuthenticationModule());
 
@@ -47,7 +47,7 @@ class AppWidget extends StatelessWidget {
   @override
   Widget build(BuildContext context) {
     return BlocProvider<core_localization.LocaleBloc>(
-      create: (context) =>
+      create: (BuildContext context) =>
           Modular.get<core_localization.LocaleBloc>()
             ..add(const core_localization.LoadLocale()),
       child:
@@ -55,23 +55,25 @@ class AppWidget extends StatelessWidget {
             core_localization.LocaleBloc,
             core_localization.LocaleState
           >(
-            builder: (context, state) {
-              return core_localization.TranslationProvider(
-                child: MaterialApp.router(
-                  debugShowCheckedModeBanner: false,
-                  title: "Krow Client",
-                  theme: UiTheme.light,
-                  routerConfig: Modular.routerConfig,
-                  locale: state.locale,
-                  supportedLocales: state.supportedLocales,
-                  localizationsDelegates: const [
-                    GlobalMaterialLocalizations.delegate,
-                    GlobalWidgetsLocalizations.delegate,
-                    GlobalCupertinoLocalizations.delegate,
-                  ],
-                ),
-              );
-            },
+            builder:
+                (BuildContext context, core_localization.LocaleState state) {
+                  return core_localization.TranslationProvider(
+                    child: MaterialApp.router(
+                      debugShowCheckedModeBanner: false,
+                      title: "Krow Client",
+                      theme: UiTheme.light,
+                      routerConfig: Modular.routerConfig,
+                      locale: state.locale,
+                      supportedLocales: state.supportedLocales,
+                      localizationsDelegates:
+                          const <LocalizationsDelegate<dynamic>>[
+                            GlobalMaterialLocalizations.delegate,
+                            GlobalWidgetsLocalizations.delegate,
+                            GlobalCupertinoLocalizations.delegate,
+                          ],
+                    ),
+                  );
+                },
           ),
     );
   }

apps/mobile/apps/client/pubspec.yaml

@@ -10,11 +10,6 @@ environment:
 dependencies:
   flutter:
     sdk: flutter
-  cupertino_icons: ^1.0.8
-  flutter_modular: ^6.3.2
-  flutter_bloc: ^8.1.3
-  flutter_localizations:
-    sdk: flutter
 
   # Architecture Packages
   design_system:
@@ -31,6 +26,13 @@ dependencies:
     path: ../../packages/features/client/settings
   client_hubs:
     path: ../../packages/features/client/hubs
+  
+  cupertino_icons: ^1.0.8
+  flutter_modular: ^6.3.2
+  flutter_bloc: ^8.1.3
+  flutter_localizations:
+    sdk: flutter
+  firebase_core: ^4.4.0
 
 dev_dependencies:
   flutter_test: