fix(creator): 라이브 다시듣기 첫 콘텐츠 기준을 보정한다

src/main/kotlin/kr/co/vividnext/sodalive/v2/creator/channel/live/adapter/out/persistence/DefaultCreatorChannelLiveQueryRepository.kt

@@ -120,7 +120,7 @@ class DefaultCreatorChannelLiveQueryRepository(
     ): List<CreatorChannelAudioContentRecord> {
         val rows = findLiveReplayAudioRows(creatorId, viewerId, now, canViewAdultContent, sort, offset, limit)
         val contentIds = rows.map { itAudioId(it) }
-        val firstContentId = firstLiveReplayAudioContentId(creatorId, now, canViewAdultContent)
+        val firstContentId = firstAudioContentId(creatorId, now, canViewAdultContent)
         val seriesByContentId = audioSeriesByContentIds(contentIds)
         val orderStatesByContentId = orderStatesByContentIds(viewerId, contentIds, now)
 
@@ -269,7 +269,7 @@ class DefaultCreatorChannelLiveQueryRepository(
         )
     }
 
-    private fun firstLiveReplayAudioContentId(
+    private fun firstAudioContentId(
         creatorId: Long,
         now: LocalDateTime,
         canViewAdultContent: Boolean
@@ -277,8 +277,15 @@ class DefaultCreatorChannelLiveQueryRepository(
         return queryFactory
             .select(audioContent.id)
             .from(audioContent)
-            .innerJoin(audioContent.theme, audioContentTheme)
-            .where(liveReplayAudioCondition(creatorId, now, canViewAdultContent))
+            .where(
+                audioContent.member.id.eq(creatorId),
+                audioContent.member.isActive.isTrue,
+                audioContent.isActive.isTrue,
+                audioContent.duration.isNotNull,
+                audioContent.releaseDate.isNotNull,
+                audioContent.releaseDate.loe(now),
+                adultAudioCondition(canViewAdultContent)
+            )
             .orderBy(audioContent.releaseDate.asc(), audioContent.id.asc())
             .fetchFirst()
     }

src/test/kotlin/kr/co/vividnext/sodalive/v2/creator/channel/live/adapter/out/persistence/DefaultCreatorChannelLiveQueryRepositoryTest.kt

@@ -108,6 +108,39 @@ class DefaultCreatorChannelLiveQueryRepositoryTest @Autowired constructor(
         assertTrue(secondPage.last().isFirstContent)
     }
 
+    @Test
+    @DisplayName("라이브 다시듣기의 isFirstContent는 테마가 아니라 전체 공개 오디오 콘텐츠 첫 항목을 기준으로 한다")
+    fun shouldMarkFirstContentByAllPublicAudioContentsNotLiveReplayTheme() {
+        val now = LocalDateTime.of(2026, 6, 17, 12, 0)
+        val creator = saveMember("first-content-creator", MemberRole.CREATOR)
+        saveAudioContent(
+            creator = creator,
+            releaseDate = now.minusDays(10),
+            isAdult = false,
+            theme = saveTheme("수면")
+        )
+        val liveReplay = saveAudioContent(
+            creator = creator,
+            releaseDate = now.minusDays(1),
+            isAdult = false,
+            theme = saveTheme("다시듣기")
+        )
+        flushAndClear()
+
+        val records = repository.findLiveReplayAudioContents(
+            creatorId = creator.id!!,
+            viewerId = null,
+            now = now,
+            canViewAdultContent = false,
+            sort = ContentSort.LATEST,
+            offset = 0,
+            limit = 20
+        )
+
+        assertEquals(listOf(liveReplay.id), records.map { it.audioContentId })
+        assertEquals(listOf(false), records.map { it.isFirstContent })
+    }
+
     @Test
     @DisplayName("라이브 다시듣기 목록은 가격 정렬을 적용한다")
     fun shouldSortLiveReplayAudioContentsByPrice() {