fix: 최근 종료한 라이브 API 오류 수정

src/main/kotlin/kr/co/vividnext/sodalive/live/room/LiveRoomRepository.kt

@@ -4,6 +4,7 @@ import com.querydsl.core.types.Projections
 import com.querydsl.core.types.dsl.CaseBuilder
 import com.querydsl.core.types.dsl.Expressions
 import com.querydsl.core.types.dsl.NumberExpression
+import com.querydsl.jpa.JPAExpressions
 import com.querydsl.jpa.impl.JPAQueryFactory
 import kr.co.vividnext.sodalive.can.use.CanUsage
 import kr.co.vividnext.sodalive.can.use.QUseCan.useCan
@@ -383,6 +384,9 @@ class LiveRoomQueryRepositoryImpl(
     }
 
     override fun getLatestFinishedLive(offset: Long): List<GetLatestFinishedLiveQueryResponse> {
+        val liveRoom = liveRoom
+        val subLiveRoom = QLiveRoom.liveRoom
+
         return queryFactory
             .select(
                 QGetLatestFinishedLiveQueryResponse(
@@ -396,7 +400,13 @@ class LiveRoomQueryRepositoryImpl(
             .from(liveRoom)
             .innerJoin(liveRoom.member, member)
             .where(
-                liveRoom.isActive.isFalse
+                liveRoom.updatedAt
+                    .eq(
+                        JPAExpressions.select(subLiveRoom.updatedAt.max())
+                            .from(subLiveRoom)
+                            .where(subLiveRoom.member.eq(liveRoom.member))
+                    )
+                    .and(liveRoom.isActive.isFalse)
                     .and(liveRoom.channelName.isNotNull)
             )
             .groupBy(member.id)