Phase 1: auth, room CRUD, WebSocket chat, PWA frontend

Invite-only FastAPI + SQLAlchemy(async) + Postgres backend (session-cookie
auth via CLI-provisioned accounts, open-room CRUD, single-instance /ws/chat)
and a React + Vite PWA frontend (login, room list, chat view). Backend tests
pass against a local Postgres DB. See README.md and backend/README.md for
setup, and ARCHITECTURE.md for the full phased design.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

frontend/src/App.tsx

@@ -0,0 +1,35 @@
+import { Navigate, Route, Routes } from 'react-router-dom'
+import { AuthProvider } from './context/AuthContext'
+import { ProtectedRoute } from './components/ProtectedRoute'
+import { LoginPage } from './pages/LoginPage'
+import { RoomListPage } from './pages/RoomListPage'
+import { ChatRoomPage } from './pages/ChatRoomPage'
+
+function App() {
+  return (
+    <AuthProvider>
+      <Routes>
+        <Route path="/login" element={<LoginPage />} />
+        <Route
+          path="/rooms"
+          element={
+            <ProtectedRoute>
+              <RoomListPage />
+            </ProtectedRoute>
+          }
+        />
+        <Route
+          path="/rooms/:roomId"
+          element={
+            <ProtectedRoute>
+              <ChatRoomPage />
+            </ProtectedRoute>
+          }
+        />
+        <Route path="*" element={<Navigate to="/rooms" replace />} />
+      </Routes>
+    </AuthProvider>
+  )
+}
+
+export default App