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>

components/admin/AdminMarkdownEditor.vue

@@ -98,6 +98,11 @@ const isUploading = ref(false)
 const mediaPickerTarget = ref('image')
 const activeMediaPickerTab = ref('upload')
 const mediaSearchQuery = ref('')
+const {
+  displayValue: mediaSearchInput,
+  onInput: onMediaSearchInput,
+  onCompositionEnd: onMediaSearchCompositionEnd
+} = useImeSearchInput(mediaSearchQuery)
 const selectedMediaUrls = ref([])
 const lastSelectionState = ref({
   start: 0,
@@ -3792,11 +3797,14 @@ const handleKeydown = (event) => {
           <label v-if="activeMediaPickerTab === 'library'" class="admin-markdown-editor__media-search mb-px flex w-full max-w-xs shrink-0 items-center py-2">
             <span class="sr-only">파일명 검색</span>
             <input
-              v-model="mediaSearchQuery"
+              :value="mediaSearchInput"
               class="admin-markdown-editor__media-search-input w-full rounded border border-[#d7dde2] bg-white px-3 py-1.5 text-sm text-[#394047] outline-none transition-colors placeholder:text-[#8e9cac] focus:border-[#15171a] focus:ring-1 focus:ring-[#15171a]/20"
               type="search"
               placeholder="파일명 검색"
               autocomplete="off"
+              @input="onMediaSearchInput"
+              @compositionupdate="onMediaSearchInput"
+              @compositionend="onMediaSearchCompositionEnd"
             >
           </label>
         </div>

components/admin/AdminPageForm.vue

@@ -812,6 +812,7 @@ defineExpose({
                     :disabled="pageSectionOptions.length === 0"
                     autocomplete="off"
                     @input="openPageSectionSuggestions"
+                    @compositionupdate="pageSectionInput = $event.target.value; openPageSectionSuggestions()"
                     @focus="openPageSectionSuggestions"
                     @blur="handlePageSectionBlur"
                     @keydown="handlePageSectionKeydown"

components/admin/AdminPostForm.vue

@@ -2041,6 +2041,7 @@ defineExpose({
                 aria-autocomplete="list"
                 @focus="openTagSuggestions"
                 @input="openTagSuggestions"
+                @compositionupdate="tagInput = $event.target.value; openTagSuggestions()"
                 @blur="handleTagBlur"
                 @keydown="handleTagKeydown"
                 @compositionstart="isTagInputComposing = true"