chore: initial import to Nexus_Edu

src/app/page.tsx

@@ -0,0 +1,27 @@
+"use client";
+
+import { useEffect } from 'react';
+import { useRouter } from 'next/navigation';
+import { useAuth } from '@/lib/auth-context';
+import { Loader2 } from 'lucide-react';
+
+export default function RootPage() {
+  const router = useRouter();
+  const { user, loading } = useAuth();
+
+  useEffect(() => {
+    if (!loading) {
+      if (user) {
+        router.replace('/dashboard');
+      } else {
+        router.replace('/login');
+      }
+    }
+  }, [user, loading, router]);
+
+  return (
+    <div className="h-screen flex items-center justify-center bg-[#F2F2F7]">
+      <Loader2 className="animate-spin text-blue-600" size={40} />
+    </div>
+  );
+}