feat(home): 첫 오디오 콘텐츠 포인트 사용 가능 여부를 응답한다

src/main/kotlin/kr/co/vividnext/sodalive/v2/api/home/application/HomeRecommendationFacade.kt

@@ -270,7 +270,8 @@ class HomeRecommendationFacade(
         creatorProfileImage = imageUrl(cloudFrontHost, creatorProfileImage),
         title = title,
         coverImage = imageUrl(cloudFrontHost, coverImage),
-        releaseDate = releaseDate.toUtcIso()
+        releaseDate = releaseDate.toUtcIso(),
+        isPointAvailable = isPointAvailable
     )
 
     private fun HomeAiCharacterRecommendationRecord.toItem() = HomeAiCharacterItem(

src/main/kotlin/kr/co/vividnext/sodalive/v2/api/home/dto/HomeRecommendationResponse.kt

@@ -66,7 +66,8 @@ data class HomeFirstAudioContentItem(
     val creatorProfileImage: String?,
     val title: String,
     val coverImage: String?,
-    val releaseDate: String
+    val releaseDate: String,
+    val isPointAvailable: Boolean
 )
 
 data class HomeAiCharacterItem(

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

@@ -395,6 +395,7 @@ class DefaultHomeRecommendationQueryRepository(
                        ac.cover_image as cover_image,
                        ac.release_date as release_date,
                        ac.is_active as is_active,
+                       ac.is_point_available as is_point_available,
                        row_number() over (
                            partition by ac.member_id
                            order by ac.created_at asc, ac.release_date asc, ac.id asc
@@ -421,6 +422,7 @@ class DefaultHomeRecommendationQueryRepository(
                    ec.title as title,
                    ec.cover_image as cover_image,
                    ec.release_date as release_date,
+                   ec.is_point_available as is_point_available,
                    case
                        when ec.release_date >= :recency3Start then 100
                        when ec.release_date >= :recency7Start then 80
@@ -471,8 +473,9 @@ class DefaultHomeRecommendationQueryRepository(
                 title = row[4] as String,
                 coverImage = row[5] as String?,
                 releaseDate = toLocalDateTime(row[6]),
-                recencyScore = (row[7] as Number).toInt(),
-                randomTieBreaker = (row[8] as Number).toDouble()
+                isPointAvailable = row[7] as Boolean,
+                recencyScore = (row[8] as Number).toInt(),
+                randomTieBreaker = (row[9] as Number).toDouble()
             )
         }
     }

src/main/kotlin/kr/co/vividnext/sodalive/v2/recommend/port/out/HomeRecommendationQueryPort.kt

@@ -126,6 +126,7 @@ data class HomeFirstAudioContentRecord(
     val title: String,
     val coverImage: String?,
     val releaseDate: LocalDateTime,
+    val isPointAvailable: Boolean,
     val recencyScore: Int,
     val randomTieBreaker: Double
 )