즐겨찾기 메뉴 편집 기능 개선

- 즐겨찾기가 1개 남았을 때 해제 방지
- 편집 모드에서 메뉴 클릭 기능 비활성화
- 즐겨찾기 변경 시 모든 카테고리의 체크박스 상태 동기화

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

src/entities/home/ui/favorite-wrapper.tsx

@@ -70,7 +70,7 @@ export const FavoriteWrapper = ({
         <SwiperSlide key={ `favorite-slide-key-${i}` }>
           <div
             className="swiper-item"
-            onClick={ () => onClickToNavigate(favoriteItems[i]?.programPath) }
+            onClick={ () => !editMode && onClickToNavigate(favoriteItems[i]?.programPath) }
           >
             <div className="swiper-icon coin-icon">
               <img

src/entities/menu/ui/menu-category.tsx

@@ -13,6 +13,7 @@ export interface MenuCategoryProps {
   subMenu?: Array<MenuItem>;
   setMenuOn?: (menuOn: boolean) => void;
   editMode?: boolean;
+  changeMenuId?: string;
   setChangeMenuId: (menuIdChecked?: string) => void;
   buttonRefs: RefObject<Array<HTMLDivElement>>;
   itemIndex: number;
@@ -25,6 +26,7 @@ export const MenuCategory = ({
   subMenu,
   setMenuOn,
   editMode,
+  changeMenuId,
   setChangeMenuId,
   buttonRefs,
   itemIndex
@@ -68,6 +70,11 @@ export const MenuCategory = ({
       ];
     }
     else{
+      // 즐겨찾기가 1개 남았을 때는 해제하지 않음
+      if(userFavorite.length <= 1){
+        callFavoiteItems();
+        return;
+      }
       userFavorite = userFavorite.filter((value, _) => {
         return value.menuId !== menuId
       });
@@ -76,7 +83,7 @@ export const MenuCategory = ({
     setChangeMenuId(`${menuId}-${checked}`);
     callFavoiteItems();
     // if(location.pathname === PATHS.home){
-      
+
     // }
   };
 
@@ -93,11 +100,15 @@ export const MenuCategory = ({
     callFavoiteItems();
   }, []);
 
+  useEffect(() => {
+    callFavoiteItems();
+  }, [changeMenuId]);
+
   useEffect(() => {
     if(menuIds.length > 0) {
       // callShortcutSave();
     }
-    
+
   }, [menuIds]);
 
   const getMenuItems = () => {
@@ -138,9 +149,8 @@ export const MenuCategory = ({
           rs.push(
             <li
               key={ `menu-item-key-${i}` }
-              onClick={ () => onClickToNavigate(subMenu[i]?.programPath) }
             >{ subMenu[i]?.menuName }</li>
-          ); 
+          );
         }
         
       }

src/shared/ui/menu/index.tsx

@@ -151,6 +151,7 @@ export const Menu = ({
             subMenu={ MenuItems[i]?.subMenu }
             setMenuOn={ setMenuOn }
             editMode={ editMode }
+            changeMenuId={ changeMenuId }
             setChangeMenuId= { setChangeMenuId }
             buttonRefs={ buttonRefs }
             itemIndex={ i }