React Native Expo app — full mobile client

- Expo SDK 54, expo-router, NativeWind
- 7 screens: login, tasks, calendar, goals, chat, settings, tabs
- API client (api.hasdo.info), SecureStore auth, AuthContext
- Tab navigation: Ukoly, Kalendar, Cile, Chat, Nastaveni
- Pull-to-refresh, FAB, group colors, priority dots
- Calendar grid with task dots
- AI chat with keyboard avoiding
- Web export verified (780 modules, 1.5MB bundle)
- Bundle ID: info.hasdo.taskteam

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

mobile/app/_layout.tsx

@@ -0,0 +1,32 @@
+import { useEffect } from 'react';
+import { Slot, useRouter, useSegments } from 'expo-router';
+import { StatusBar } from 'expo-status-bar';
+import { AuthProvider, useAuthContext } from '../lib/AuthContext';
+
+function AuthGate() {
+  const { token, loading } = useAuthContext();
+  const segments = useSegments();
+  const router = useRouter();
+
+  useEffect(() => {
+    if (loading) return;
+    const inAuthGroup = segments[0] === 'login';
+
+    if (!token && !inAuthGroup) {
+      router.replace('/login');
+    } else if (token && inAuthGroup) {
+      router.replace('/');
+    }
+  }, [token, loading, segments]);
+
+  return <Slot />;
+}
+
+export default function RootLayout() {
+  return (
+    <AuthProvider>
+      <StatusBar style="auto" />
+      <AuthGate />
+    </AuthProvider>
+  );
+}