fix(auth): redirect to splash after logout

src/app/sidebar/sidebar-screen.tsx

@@ -1,7 +1,8 @@
 "use client";
 
-import { useEffect } from "react";
+import { useEffect, useRef } from "react";
 import { useRouter } from "next/navigation";
+import { signOut } from "next-auth/react";
 
 import { MobileShell, SettingsSection } from "@/app/_components/core";
 import { ROUTES } from "@/router/routes";
@@ -36,15 +37,24 @@ export function SidebarScreen() {
   const auth = useAuthState();
   const authDispatch = useAuthDispatch();
   const router = useRouter();
+  const isLogoutRedirectPendingRef = useRef(false);
 
   useEffect(() => {
     userDispatch({ type: "UserInit" });
   }, [userDispatch]);
 
-  const handleLogoutClick = () => {
-    authDispatch({ type: "AuthReset" });
-    userDispatch({ type: "UserLogout" });
+  useEffect(() => {
+    if (!isLogoutRedirectPendingRef.current) return;
+    if (auth.isLoading || auth.loginStatus !== "notLoggedIn") return;
+    isLogoutRedirectPendingRef.current = false;
     router.replace(ROUTES.splash);
+  }, [auth.isLoading, auth.loginStatus, router]);
+
+  const handleLogoutClick = () => {
+    isLogoutRedirectPendingRef.current = true;
+    userDispatch({ type: "UserClearLocal" });
+    authDispatch({ type: "AuthLogoutSubmitted" });
+    void signOut({ redirect: false });
   };
 
   // 状态派生：未登录 / 已登录未 VIP / 已登录 VIP