[Developer] #532 지역 표시 계층화 formatRegion (한국|서울 → 한국 › 서울)

- lib/region.ts formatRegion() 신설: 파이프 분리 + 빈토큰/null/나라 더미 제거 + ' › ' 조인
- RestaurantDetail/RestaurantList 지역 표기에 적용
- buildSearchQuery(검색용 공백조인) 유지
- 설계서 docs/design/532-region-display/README.md

Refs #532

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

frontend/src/components/RestaurantDetail.tsx

@@ -7,6 +7,7 @@ import ReviewSection from "@/components/ReviewSection";
 import MemoSection from "@/components/MemoSection";
 import { RestaurantDetailSkeleton } from "@/components/Skeleton";
 import Icon from "@/components/Icon";
+import { formatRegion } from "@/lib/region";
 
 interface RestaurantDetailProps {
   restaurant: Restaurant;
@@ -129,7 +130,7 @@ export default function RestaurantDetail({
         )}
         {restaurant.region && (
           <p>
-            <span className="text-gray-400 dark:text-gray-500">지역</span> <span className="text-gray-600 dark:text-gray-300">{restaurant.region}</span>
+            <span className="text-gray-400 dark:text-gray-500">지역</span> <span className="text-gray-600 dark:text-gray-300">{formatRegion(restaurant.region)}</span>
           </p>
         )}
         {restaurant.price_range && (

frontend/src/components/RestaurantList.tsx

@@ -3,6 +3,7 @@
 import type { Restaurant } from "@/lib/api";
 import { getCuisineIcon } from "@/lib/cuisine-icons";
 import Icon from "@/components/Icon";
+import { formatRegion } from "@/lib/region";
 import { RestaurantListSkeleton } from "@/components/Skeleton";
 
 interface RestaurantListProps {
@@ -51,7 +52,7 @@ export default function RestaurantList({
               {r.name}
             </h4>
             {r.region && (
-              <span className="text-[11px] text-gray-400 dark:text-gray-500 truncate">{r.region}</span>
+              <span className="text-[11px] text-gray-400 dark:text-gray-500 truncate">{formatRegion(r.region)}</span>
             )}
             {r.rating && (
               <span className="text-xs text-yellow-600 dark:text-yellow-400 font-medium whitespace-nowrap shrink-0">★ {r.rating}</span>