refactor(auth): centralize login status sync

src/app/splash/splash-screen.tsx

@@ -5,7 +5,6 @@ import { useRouter } from "next/navigation";
 
 import { MobileShell } from "@/app/_components/core";
 import { useAuthDispatch, useAuthState } from "@/stores/auth/auth-context";
-import { useUserDispatch } from "@/stores/user/user-context";
 import { AuthStorage } from "@/data/storage/auth/auth_storage";
 import { ROUTES } from "@/router/routes";
 import { pwaUtil } from "@/utils";
@@ -27,7 +26,6 @@ export function SplashScreen() {
   const router = useRouter();
   const state = useAuthState();
   const authDispatch = useAuthDispatch();
-  const userDispatch = useUserDispatch();
 
   const handleSkip = () => {
     authDispatch({ type: "AuthGuestLoginSubmitted" });
@@ -81,16 +79,9 @@ export function SplashScreen() {
         "[splash] useEffect ② → router.replace(/chat) [via pendingRedirect flag]",
       );
       authDispatch({ type: "AuthClearPendingRedirect" });
-      userDispatch({ type: "UserInit" });
       router.replace(ROUTES.chat);
     }
-  }, [
-    state.loginStatus,
-    state.pendingRedirect,
-    authDispatch,
-    userDispatch,
-    router,
-  ]);
+  }, [state.loginStatus, state.pendingRedirect, authDispatch, router]);
 
   return (
     <MobileShell background="var(--color-sidebar-background)">