refactor: refresh profileBar when logout

src/components/auth/logoutButton.tsx

@@ -1,15 +1,23 @@
 "use client";
 
 import { createSupabaseClient } from "@/lib/supabase/clientComponentClient";
+import { usePathname } from "next/navigation";
 import { useRouter } from "next/navigation";
 
 export function LogoutButton() {
   const supabase = createSupabaseClient();
+  const pathname = usePathname();
   const router = useRouter();
 
   const handleLogout = async () => {
     await supabase.auth.signOut();
-    router.push("/");
+
+    if (pathname === "/") {
+      window.location.reload();
+    } else {
+      await router.push("/");
+      window.location.reload();
+    }
   };
 
   return <button onClick={handleLogout}>Logout</button>;