fix(home): 종료된 라이브 데뷔 판정을 보강한다

src/main/kotlin/kr/co/vividnext/sodalive/v2/recommendation/adapter/out/persistence/DefaultHomeRecommendationQueryRepository.kt

@@ -228,8 +228,7 @@ class DefaultHomeRecommendationQueryRepository(
                     union all
                     select lr.member_id as creator_id, lr.begin_date_time as debut_at
                     from live_room lr
-                    where lr.is_active = true
-                      and lr.channel_name is not null
+                    where lr.channel_name is not null
                       and lr.channel_name <> ''
                       and lr.begin_date_time <= :now
                       and (:includeAdultContents = true or lr.is_adult = false)

src/test/kotlin/kr/co/vividnext/sodalive/v2/recommendation/adapter/out/persistence/DefaultHomeRecommendationQueryRepositoryTest.kt

@@ -1245,6 +1245,32 @@ class DefaultHomeRecommendationQueryRepositoryTest @Autowired constructor(
         assertEquals(listOf(newHighScoreCreator.id, newLowScoreCreator.id), creators.map { it.creatorId })
     }
 
+    @Test
+    @DisplayName("최근 데뷔 크리에이터는 종료된 라이브도 채널명이 있으면 라이브 데뷔로 인정한다")
+    fun shouldIncludeEndedLiveWithChannelNameInRecentDebutCreators() {
+        val now = LocalDateTime.of(2026, 5, 31, 10, 0)
+        val endedLiveCreator = saveMember("ended-live-debut", MemberRole.CREATOR)
+        val blankChannelCreator = saveMember("blank-ended-live-debut", MemberRole.CREATOR)
+
+        saveLiveRoom(
+            endedLiveCreator,
+            now.minusDays(5),
+            channelName = "ended-live-channel",
+            isActive = false
+        )
+        saveLiveRoom(
+            blankChannelCreator,
+            now.minusDays(4),
+            channelName = "",
+            isActive = false
+        )
+        flushAndClear()
+
+        val creators = repository.findRecentDebutCreators(now, limit = 10)
+
+        assertEquals(listOf(endedLiveCreator.id), creators.map { it.creatorId })
+    }
+
     @Test
     @DisplayName("최근 데뷔 크리에이터는 인기 커뮤니티 전용 부스트가 아니라 기존 신규 부스트를 유지한다")
     fun shouldKeepOriginalNewBoostForRecentDebutCreators() {