[BE] hotfix#1

[DongHoonYu96]

새롭게 입장한 플레이어는 어떤 게임모드인지 모르고, 디폴트가 SURVIVAL로 잡히는 버그수정

➕ 이슈 번호

• #이슈번호

🔎 작업 내용

• 작업 내용을 설명해주세요

🖼 참고 이미지

🎯 리뷰 요구사항 (선택)

• 특별히 봐줬으면 하는 부분이 있다면 적어주세요

✅ Check List

• merge할 브랜치의 위치를 확인했나요?
• Label을 지정했나요?

Copilot reviewed 5 out of 11 changed files in this pull request and generated no suggestions.

Files not reviewed (6)

• BE/src/auth/auth.controller.spec.ts: Evaluated as low risk
• BE/src/auth/auth.service.spec.ts: Evaluated as low risk
• BE/src/user/user.service.spec.ts: Evaluated as low risk
• BE/src/game/dto/create-game.dto.ts: Evaluated as low risk
• BE/src/game/redis/subscribers/room.subscriber.ts: Evaluated as low risk
• BE/test/integration/game.integration.spec.ts: Evaluated as low risk

[always97]

💥💥!