feat(auth): add remembered local login to the frontend

frontend/src/App.tsx

@@ -1,11 +1,11 @@
 import { QueryClientProvider } from "@tanstack/react-query";
 import { queryClient } from "./app/queryClient";
-import { AppShell } from "./shell/AppShell";
+import { AuthGate } from "./auth/AuthGate";
 
 export function App() {
   return (
     <QueryClientProvider client={queryClient}>
-      <AppShell />
+      <AuthGate />
     </QueryClientProvider>
   );
 }