fix(creator): 라이브 다시듣기 첫 콘텐츠 기준을 보정한다

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() {