fix(ui): keep home route at root without last-route redirect

ui/src/App.tsx

@@ -1,5 +1,5 @@
 import { lazy, Suspense } from 'react';
-import { BrowserRouter, Navigate, Routes, Route } from 'react-router-dom';
+import { BrowserRouter, Routes, Route } from 'react-router-dom';
 import { QueryClientProvider } from '@tanstack/react-query';
 import { Toaster } from 'sonner';
 import { queryClient } from '@/lib/query-client';
@@ -8,7 +8,6 @@ import { PrivacyProvider } from '@/contexts/privacy-context';
 import { AuthProvider } from '@/contexts/auth-context';
 import { RequireAuth } from '@/components/auth/require-auth';
 import { Layout } from '@/components/layout/layout';
-import { getStoredLastRoute, shouldRestoreRoute } from '@/lib/last-route';
 import { Loader2 } from 'lucide-react';
 
 // Eager load: HomePage (initial route) + LoginPage (auth flow)
@@ -48,15 +47,6 @@ function PageLoader() {
   );
 }
 
-function HomeEntryRoute() {
-  const lastRoute = getStoredLastRoute();
-  if (shouldRestoreRoute(lastRoute)) {
-    return <Navigate to={lastRoute} replace />;
-  }
-
-  return <HomePage />;
-}
-
 export default function App() {
   return (
     <QueryClientProvider client={queryClient}>
@@ -71,7 +61,7 @@ export default function App() {
                 {/* Protected routes: wrapped with RequireAuth */}
                 <Route element={<RequireAuth />}>
                   <Route element={<Layout />}>
-                    <Route path="/" element={<HomeEntryRoute />} />
+                    <Route path="/" element={<HomePage />} />
                     <Route
                       path="/analytics"
                       element={