refactor: 로그인 완료 시 하위 모든 페이지 리렌더링 작업

apps/cs/src/pages/auth/login/ui/login-page.tsx

@@ -1,13 +1,11 @@
 "use client";
 
 import Image from "next/image";
-import { useRouter } from "next/navigation";
 import { images } from "@common/assets";
 import { LoginApi } from "@/entities/auth";
 import "./login.css";
 
 function LoginPage() {
-  const router = useRouter();
   const handleSubmit = async (e: React.FormEvent<HTMLFormElement>) => {
     e.preventDefault();
 
@@ -16,7 +14,7 @@ function LoginPage() {
     const password = formData.get("password") as string;
 
     await LoginApi.login({ userId, password });
-    router.push("/site");
+    window.location.href = "/dashboard";
   };
 
   return (