[FIX] V3 배지 목록 조회 DTO 스펙에 맞춰 수정

smeem-api/src/main/java/com/smeem/api/badge/api/dto/response/BadgeListResponseV3.java

@@ -3,17 +3,21 @@
 import com.smeem.api.badge.service.dto.response.v3.BadgeListServiceResponseV3;
 import lombok.Builder;
 
+import java.util.List;
+
 import static lombok.AccessLevel.PRIVATE;
 
 
 @Builder(access = PRIVATE)
 public record BadgeListResponseV3(
-        BadgeListServiceResponseV3 badges
+        List<BadgeResponseV3> badges
 ) {
 
     public static BadgeListResponseV3 from(BadgeListServiceResponseV3 badges) {
         return BadgeListResponseV3.builder()
-                .badges(badges)
+                .badges(badges.badgeGetServiceResponseV3List().stream()
+                        .map(BadgeResponseV3::from)
+                        .toList())
                 .build();
     }
 }

smeem-api/src/main/java/com/smeem/api/badge/api/dto/response/BadgeResponseV3.java

@@ -0,0 +1,30 @@
+package com.smeem.api.badge.api.dto.response;
+
+import com.smeem.api.badge.service.dto.response.v3.BadgeGetServiceResponseV3;
+import com.smeem.domain.badge.model.BadgeType;
+
+public record BadgeResponseV3(
+        long badgeId,
+        String name,
+        BadgeType type,
+        boolean hasBadge,
+        Integer remainingNumber,
+        String contentForNonBadgeOwner,
+        String contentForBadgeOwner,
+        String imageUrl,
+        float badgeAcquisitionRatio
+) {
+    public static BadgeResponseV3 from(BadgeGetServiceResponseV3 badge) {
+        return new BadgeResponseV3(
+                badge.badgeId(),
+                badge.name(),
+                badge.type(),
+                badge.hasBadge(),
+                badge.remainingNumber(),
+                badge.contentForNonBadgeOwner(),
+                badge.contentForBadgeOwner(),
+                badge.imageUrl(),
+                badge.badgeAcquisitionRatio()
+        );
+    }
+}