refactor: Follow up handle logout and login with new client

lib/pages/homeserver_picker/homeserver_picker_view.dart

@@ -25,7 +25,8 @@ class HomeserverPickerView extends StatelessWidget {
     final theme = Theme.of(context);
 
     return LoginScaffold(
-      enforceMobileMode: Matrix.of(context).client.isLogged(),
+      enforceMobileMode:
+          Matrix.of(context).widget.clients.any((client) => client.isLogged()),
       appBar: AppBar(
         centerTitle: true,
         title: Text(

lib/pages/login/login.dart

@@ -70,7 +70,7 @@ class LoginController extends State<Login> {
         identifier = AuthenticationUserIdentifier(user: username);
       }
       final client = await matrix.getLoginClient();
-      client.login(
+      await client.login(
         LoginType.mLoginPassword,
         identifier: identifier,
         // To stay compatible with older server versions

lib/pages/login/login_view.dart

@@ -21,7 +21,8 @@ class LoginView extends StatelessWidget {
     final titleParts = title.split(homeserver);
 
     return LoginScaffold(
-      enforceMobileMode: Matrix.of(context).client.isLogged(),
+      enforceMobileMode:
+          Matrix.of(context).widget.clients.any((client) => client.isLogged()),
       appBar: AppBar(
         leading: controller.loading ? null : const Center(child: BackButton()),
         automaticallyImplyLeading: !controller.loading,