feat: persist customer product and shop favorites through the live API

Replace mall fixture favorites with customer-scoped endpoints, and send signed-out shoppers back to the page they left after sign-in.

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/mall/plugins/api.ts

@@ -23,7 +23,8 @@ type LiveDomain =
   | "coupons"
   | "points"
   | "flashSales"
-  | "groupBuying";
+  | "groupBuying"
+  | "favorites";
 
 /**
  * Explicit per-domain method picks rather than a string allowlist: indexing
@@ -84,6 +85,13 @@ const LIVE_PICKS = {
   groupBuying: (a: ApiClient) => ({
     listGroupBuyingActivities: a.listGroupBuyingActivities,
   }),
+  favorites: (a: ApiClient) => ({
+    listFavorites: a.listFavorites,
+    addProductFavorite: a.addProductFavorite,
+    removeProductFavorite: a.removeProductFavorite,
+    addShopFavorite: a.addShopFavorite,
+    removeShopFavorite: a.removeShopFavorite,
+  }),
 } satisfies Record<LiveDomain, (a: ApiClient) => Partial<ApiClient>>;
 
 const KNOWN_DOMAINS = Object.keys(LIVE_PICKS) as LiveDomain[];
@@ -106,6 +114,7 @@ const DEFAULT_LIVE_DOMAINS: LiveDomain[] = [
   "points",
   "flashSales",
   "groupBuying",
+  "favorites",
 ];
 
 export default defineNuxtPlugin(() => {