feat(home): AI 캐릭터 프로필 이미지를 응답한다

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

@@ -278,6 +278,7 @@ class HomeRecommendationFacade(
         characterId = characterId,
         name = name,
         description = description,
+        profileImage = imageUrl(cloudFrontHost, profileImage),
         totalChatCount = totalChatCount,
         originalWorkTitle = originalWorkTitle
     )

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

@@ -74,6 +74,7 @@ data class HomeAiCharacterItem(
     val characterId: Long,
     val name: String,
     val description: String,
+    val profileImage: String?,
     val totalChatCount: Long,
     val originalWorkTitle: String?
 )

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

@@ -711,6 +711,7 @@ class DefaultHomeRecommendationQueryRepository(
                     chatCharacter.id,
                     chatCharacter.name,
                     chatCharacter.description,
+                    chatCharacter.imagePath,
                     chatMessage.id.count(),
                     linkedOriginalWork.title
                 )
@@ -727,7 +728,13 @@ class DefaultHomeRecommendationQueryRepository(
                 chatMessage.isActive.isTrue
             )
             .where(chatCharacter.isActive.isTrue, chatCharacter.id.`in`(characterIds))
-            .groupBy(chatCharacter.id, chatCharacter.name, chatCharacter.description, linkedOriginalWork.title)
+            .groupBy(
+                chatCharacter.id,
+                chatCharacter.name,
+                chatCharacter.description,
+                chatCharacter.imagePath,
+                linkedOriginalWork.title
+            )
             .fetch()
     }
 

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

@@ -135,6 +135,7 @@ data class HomeAiCharacterRecommendationRecord(
     val characterId: Long,
     val name: String,
     val description: String,
+    val profileImage: String?,
     val totalChatCount: Long,
     val originalWorkTitle: String?
 )