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>

app/src/screens/settings/SettingsScreen.tsx

@@ -1,4 +1,6 @@
 import React, { useCallback, useEffect, useState } from 'react';
+import { App } from '@capacitor/app';
+import { Capacitor } from '@capacitor/core';
 import {
   resetPaperAccount,
   sendFcmTest,
@@ -20,11 +22,21 @@ export default function SettingsScreen() {
   const [fcmAvailable, setFcmAvailable] = useState(false);
   const [pushPerm, setPushPerm] = useState<string>('—');
   const [fcmBusy, setFcmBusy] = useState(false);
+  const [updateBusy, setUpdateBusy] = useState(false);
+  const [appVersion, setAppVersion] = useState('—');
 
   useEffect(() => {
     void loadFcmStatus().then(s => setFcmAvailable(!!s?.available));
   }, []);
 
+  useEffect(() => {
+    if (Capacitor.isNativePlatform()) {
+      void App.getInfo().then(i => setAppVersion(i.version ?? '—'));
+    } else {
+      setAppVersion('web');
+    }
+  }, []);
+
   const patch = useCallback((p: AppSettingsDto) => save(p as unknown as Parameters<typeof save>[0]), [save]);
 
   const onLogout = () => {
@@ -205,6 +217,30 @@ export default function SettingsScreen() {
         </SettingRow>
       </SettingGroup>
 
+      <SettingGroup title="앱">
+        <SettingRow label="앱 버전">
+          <span className="text-muted">{appVersion}</span>
+        </SettingRow>
+        {Capacitor.getPlatform() === 'android' && (
+          <SettingRow label="업데이트" description="서버 APK 버전 확인">
+            <button
+              type="button"
+              className="btn-secondary"
+              style={{ padding: '8px 12px', minHeight: 36 }}
+              disabled={updateBusy}
+              onClick={() => {
+                setUpdateBusy(true);
+                void import('../../services/appUpdate')
+                  .then(m => m.checkAndPromptAppUpdate())
+                  .finally(() => setUpdateBusy(false));
+              }}
+            >
+              업데이트 확인
+            </button>
+          </SettingRow>
+        )}
+      </SettingGroup>
+
       <SettingGroup title="네트워크">
         <SettingRow label="API URL">
           <input