refactor(app): tighten chat and sync boundaries

src/providers/root-providers.tsx

@@ -19,10 +19,13 @@ import type { ReactNode } from "react";
 import { AuthProvider } from "@/stores/auth/auth-context";
 import { AuthStatusChecker } from "@/stores/auth/auth-status-checker";
 import { OAuthSessionSync } from "@/stores/auth/oauth-session-sync";
-import { ChatAuthSync } from "@/stores/chat/chat-auth-sync";
 import { ChatProvider } from "@/stores/chat/chat-context";
-import { PaymentProvider, PaymentSuccessSync } from "@/stores/payment";
-import { UserAuthSync } from "@/stores/user/user-auth-sync";
+import { PaymentProvider } from "@/stores/payment";
+import {
+  ChatAuthSync,
+  PaymentSuccessSync,
+  UserAuthSync,
+} from "@/stores/sync";
 import { UserProvider } from "@/stores/user/user-context";
 
 export interface RootProvidersProps {