Fix: [2.0.10] 라이브/쇼츠 스킵 및 네트워크 타임아웃 설정

- 라이브/쇼츠 영상 감지 시 에러 대신 스킵 처리
- yt-dlp socket_timeout, httpx timeout, Discord webhook timeout 30초로 설정

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

app/main.py

@@ -4,7 +4,7 @@ from pydantic import BaseModel
 from app.config import settings
 from app.discord import send_error_to_discord, send_to_discord
 from app.summarizer import summarize
-from app.transcript import extract_video_id, fetch_transcript
+from app.transcript import SkipVideo, extract_video_id, fetch_transcript
 
 app = FastAPI(title="News Summary Bot")
 
@@ -29,6 +29,8 @@ async def summarize_video(
         transcript = fetch_transcript(video_id)
         summary = summarize(transcript, title)
         await send_to_discord(title, req.video_url, summary)
+    except SkipVideo as e:
+        return {"status": "skipped", "title": title, "reason": str(e)}
     except Exception as e:
         await send_error_to_discord(title, req.video_url, e)
         raise HTTPException(status_code=500, detail=str(e))