fix: 로또 API 504 타임아웃 및 Application error 수정

- _nas.ts: AbortSignal timeout 10s → 25s (NAS 무거운 연산 대응)
- stats/performance, report/latest, report/history: maxDuration = 60 추가 (Vercel 함수 타임아웃 연장)
- ReportTab: 에러 응답({error:"NAS_TIMEOUT"}) 받을 시 렌더 전 차단, confidence_factors null guard 추가
- PurchaseTab: API 에러 응답 감지 후 조용히 빈 상태 유지
- PatternTab: 에러 응답 감지 후 에러 메시지 표시

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

app/api/lotto/_nas.ts

@@ -15,9 +15,9 @@ function nasBase() {
   return base;
 }
 
-export async function nasGet(path: string): Promise<unknown> {
+export async function nasGet(path: string, timeoutMs = 25000): Promise<unknown> {
   const res = await fetch(`${nasBase()}${path}`, {
-    headers: nasHeaders(), signal: AbortSignal.timeout(10000),
+    headers: nasHeaders(), signal: AbortSignal.timeout(timeoutMs),
   });
   if (!res.ok) throw new Error(`NAS_${res.status}`);
   return res.json();
@@ -28,7 +28,7 @@ export async function nasPost(path: string, body: unknown): Promise<unknown> {
     method: 'POST',
     headers: { ...nasHeaders(), 'Content-Type': 'application/json' },
     body: JSON.stringify(body),
-    signal: AbortSignal.timeout(10000),
+    signal: AbortSignal.timeout(25000),
   });
   if (!res.ok) throw new Error(`NAS_${res.status}`);
   return res.json();
@@ -39,7 +39,7 @@ export async function nasPut(path: string, body: unknown): Promise<unknown> {
     method: 'PUT',
     headers: { ...nasHeaders(), 'Content-Type': 'application/json' },
     body: JSON.stringify(body),
-    signal: AbortSignal.timeout(10000),
+    signal: AbortSignal.timeout(25000),
   });
   if (!res.ok) throw new Error(`NAS_${res.status}`);
   return res.json();
@@ -47,7 +47,7 @@ export async function nasPut(path: string, body: unknown): Promise<unknown> {
 
 export async function nasDelete(path: string): Promise<unknown> {
   const res = await fetch(`${nasBase()}${path}`, {
-    method: 'DELETE', headers: nasHeaders(), signal: AbortSignal.timeout(10000),
+    method: 'DELETE', headers: nasHeaders(), signal: AbortSignal.timeout(25000),
   });
   if (!res.ok) throw new Error(`NAS_${res.status}`);
   return res.json();

app/api/lotto/report/history/route.ts

@@ -1,6 +1,8 @@
 import { NextResponse } from 'next/server';
 import { nasGet, requireSubscription, handleNasError } from '../../_nas';
 
+export const maxDuration = 60;
+
 export async function GET(request: Request) {
   try {
     const auth = await requireSubscription();

app/api/lotto/report/latest/route.ts

@@ -1,6 +1,8 @@
 import { NextResponse } from 'next/server';
 import { nasGet, requireSubscription, handleNasError } from '../../_nas';
 
+export const maxDuration = 60;
+
 export async function GET() {
   try {
     const auth = await requireSubscription();

app/api/lotto/stats/performance/route.ts

@@ -2,6 +2,8 @@ import { NextResponse } from 'next/server';
 import { createClient } from '@/lib/supabase/server';
 import { nasGet, handleNasError } from '../../_nas';
 
+export const maxDuration = 60;
+
 export async function GET() {
   try {
     const supabase = await createClient();

app/services/lotto/recommend/PatternTab.tsx

@@ -65,7 +65,10 @@ export default function PatternTab() {
 
   useEffect(() => {
     fetch('/api/lotto/analysis/personal').then(r => r.json())
-      .then(setData)
+      .then(d => {
+        if (d?.error) { setError(d.error === 'NAS_TIMEOUT' ? 'NAS 서버 응답 시간 초과.' : '패턴 분석을 불러오지 못했습니다.'); return; }
+        setData(d);
+      })
       .catch(() => setError('패턴 분석을 불러오지 못했습니다.'))
       .finally(() => setLoading(false));
   }, []);

app/services/lotto/recommend/PurchaseTab.tsx

@@ -49,9 +49,10 @@ export default function PurchaseTab() {
         fetch('/api/lotto/purchase').then(r => r.json()),
         fetch('/api/lotto/purchase/stats').then(r => r.json()),
       ]);
+      if (recRes?.error || statRes?.error) throw new Error(recRes?.error ?? statRes?.error);
       setRecords(recRes.records ?? []);
       setStats(statRes);
-    } finally { setLoading(false); }
+    } catch { /* 에러 시 빈 상태 유지 */ } finally { setLoading(false); }
   };
 
   useEffect(() => { load(); }, []);

app/services/lotto/recommend/ReportTab.tsx

@@ -78,8 +78,14 @@ export default function ReportTab() {
       fetch('/api/lotto/report/latest').then(r => r.json()),
       fetch('/api/lotto/report/history?limit=10').then(r => r.json()),
     ]).then(([rep, hist]) => {
+      if (rep?.error) {
+        setError(rep.error === 'NAS_TIMEOUT'
+          ? 'NAS 서버 응답 시간 초과. 잠시 후 다시 시도해주세요.'
+          : '리포트를 불러오지 못했습니다. (' + rep.error + ')');
+        return;
+      }
       setReport(rep);
-      setHistory(hist.reports ?? []);
+      setHistory(hist?.reports ?? []);
     }).catch(() => setError('리포트를 불러오지 못했습니다.'))
       .finally(() => setLoading(false));
   }, []);
@@ -101,7 +107,7 @@ export default function ReportTab() {
     <div style={{ textAlign: 'center', padding: '4rem 0', color: '#f87171', fontSize: '.85rem' }}>{error}</div>
   );
 
-  if (!report) return null;
+  if (!report || !report.confidence_factors || !report.recommended_sets) return null;
 
   const strategyColors = ['#fbbf24', '#60a5fa', '#a78bfa'];