feat: Phase 1 mobile tablet — Jenkins APK, PC tab, in-app update

Capacitor 확장으로 git push 시 Mobile Jenkins 빌드, PC 탭 Android/iPad 다운로드,
앱 내 APK 업데이트, iOS TestFlight API 및 Capacitor ios 프로젝트를 추가한다.

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

packages/shared/src/api/backendApi.ts

@@ -1506,3 +1506,37 @@ export async function fetchTrendSearchDetail(
   return request<TrendSearchResultDto>(`/trend-search/detail?${params}`);
 }
 
+// ── 모바일 앱 배포 ─────────────────────────────────────────────────────────────
+
+export interface MobileAppReleaseInfoDto {
+  available: boolean;
+  fileName?: string;
+  version?: string;
+  sizeBytes?: number;
+  updatedAt?: string;
+  downloadUrl?: string;
+  installPageUrl?: string;
+  iosAvailable?: boolean;
+  iosTestFlightUrl?: string;
+}
+
+export async function loadMobileAppReleaseInfo(): Promise<MobileAppReleaseInfoDto | null> {
+  return request<MobileAppReleaseInfoDto>('/mobile-app/info');
+}
+
+/** semver 유사 비교 — remote > local 이면 true */
+export function isRemoteVersionNewer(local: string, remote: string): boolean {
+  const parse = (v: string) =>
+    v.trim().replace(/^v/i, '').split(/[.-]/).map(p => parseInt(p, 10)).map(n => (Number.isFinite(n) ? n : 0));
+  const a = parse(local);
+  const b = parse(remote);
+  const len = Math.max(a.length, b.length);
+  for (let i = 0; i < len; i += 1) {
+    const av = a[i] ?? 0;
+    const bv = b[i] ?? 0;
+    if (bv > av) return true;
+    if (bv < av) return false;
+  }
+  return false;
+}
+