feat(zustand): add zustand stores for exam, timer and auth

components/AuthInitializer.tsx

@@ -0,0 +1,40 @@
+"use client";
+
+import { useEffect } from "react";
+import { useAuthStore } from "@/stores/authStore";
+import { useRouter, usePathname } from "next/navigation";
+
+export default function AuthInitializer({
+  children,
+}: {
+  children: React.ReactNode;
+}) {
+  const { initializeAuth, isLoading, token } = useAuthStore();
+  const router = useRouter();
+  const pathname = usePathname();
+
+  useEffect(() => {
+    const run = async () => {
+      await initializeAuth();
+
+      // Routing logic based on auth state
+      const publicPages = ["/", "/login", "/register"];
+
+      if (token) {
+        if (publicPages.includes(pathname)) {
+          router.replace("/home");
+        }
+      } else {
+        if (!publicPages.includes(pathname)) {
+          router.replace("/");
+        }
+      }
+    };
+
+    run();
+  }, [pathname, token, initializeAuth, router]);
+
+  if (isLoading) return <p>Loading...</p>;
+
+  return <>{children}</>;
+}