refactor(auth): centralize auth routing via proxy and marker cookie

src/stores/auth/auth-machine.ts

@@ -79,11 +79,24 @@ async function readGuestId(): Promise<string | undefined> {
 // ============================================================
 // Actors（异步服务）
 // ============================================================
+/**
+ * 设路由信号 cookie（client 端走 marker API）。
+ * fail-soft：失败仅 warn，不阻断登录主流程（业务 token 已落 localStorage）。
+ */
+async function setAuthCookieClientSide(): Promise<void> {
+  try {
+    await fetch("/api/auth/marker", { method: "POST" });
+  } catch (e) {
+    console.warn("[auth-machine] failed to set auth cookie", e);
+  }
+}
+
 const emailLoginActor = fromPromise<LoginType, { email: string; password: string }>(
   async ({ input }) => {
     const guestId = await readGuestId();
     const result = await authRepository.emailLogin({ ...input, guestId });
     if (Result.isErr(result)) throw result.error;
+    await setAuthCookieClientSide();
     return "email" as LoginType;
   },
 );
@@ -104,6 +117,7 @@ const emailRegisterThenLoginActor = fromPromise<
     guestId,
   });
   if (Result.isErr(loginResult)) throw loginResult.error;
+  await setAuthCookieClientSide();
   return "email" as LoginType;
 });