관리자 검색창 한글 IME 조합 검색 및 모바일 가로 트랙 세로 스크롤 문제 수정

- IME 조합 중에도 검색되는 공통 컴포저블 useImeSearchInput 추가
- 글/멤버/미디어/설정/태그 필터/미디어 모달 검색 IME 조합 대응
- 홈 추천글·페이지 섹션 가로 트랙 touch-action pan-x 제거로 모바일 세로 스크롤 복구
- v1.10.29

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

pages/admin/posts/index.vue

@@ -29,6 +29,18 @@ const analyticsModalError = ref('')
 const postMenuTriggerRefs = new Map()
 const tagFilterRef = ref(null)
 
+const {
+  displayValue: searchInput,
+  onInput: onSearchInput,
+  onCompositionEnd: onSearchCompositionEnd
+} = useImeSearchInput(searchQuery, { debounce: 200 })
+
+const {
+  displayValue: tagFilterSearchInput,
+  onInput: onTagFilterSearchInput,
+  onCompositionEnd: onTagFilterSearchCompositionEnd
+} = useImeSearchInput(tagFilterSearch)
+
 const postsQuery = computed(() => ({
   paged: 'true',
   page: postPage.value,
@@ -921,10 +933,13 @@ watch(postPageCount, (pageCount) => {
               <circle cx="11" cy="11" r="8" />
             </svg>
             <input
-              v-model="searchQuery"
+              :value="searchInput"
               class="admin-posts__search-input h-10 w-52 rounded border border-line bg-white pl-9 pr-3 text-sm text-[#394047] outline-none transition-colors placeholder:text-[#8e9cac] hover:border-[#c8ced3] focus:border-[#8e9cac]"
               type="search"
               placeholder="글 검색"
+              @input="onSearchInput"
+              @compositionupdate="onSearchInput"
+              @compositionend="onSearchCompositionEnd"
             >
           </label>
           <label class="admin-posts__filter">
@@ -958,7 +973,7 @@ watch(postPageCount, (pageCount) => {
                 <span aria-hidden="true">×</span>
               </button>
               <input
-                v-model="tagFilterSearch"
+                :value="tagFilterSearchInput"
                 class="admin-posts__tag-filter-input min-w-0 flex-1 bg-transparent px-1 text-sm text-[#394047] outline-none placeholder:text-[#394047]"
                 type="text"
                 role="combobox"
@@ -966,7 +981,9 @@ watch(postPageCount, (pageCount) => {
                 aria-controls="admin-posts-tag-filter-list"
                 :placeholder="tagFilter === 'all' ? '전체 태그' : '태그 검색'"
                 autocomplete="off"
-                @input="openTagFilter"
+                @input="onTagFilterSearchInput($event); openTagFilter()"
+                @compositionupdate="onTagFilterSearchInput"
+                @compositionend="onTagFilterSearchCompositionEnd"
                 @focus="openTagFilter"
                 @keydown="handleTagFilterKeydown"
               >