feat(products): vitest 도입 + 제품 접근 확장 로직 (music tier 하위 호환)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

package.json

@@ -6,7 +6,8 @@
     "dev": "next dev",
     "build": "next build",
     "start": "next start",
-    "lint": "eslint"
+    "lint": "eslint",
+    "test": "vitest run"
   },
   "dependencies": {
     "@anthropic-ai/sdk": "^0.79.0",
@@ -39,6 +40,7 @@
     "eslint": "^9",
     "eslint-config-next": "16.1.6",
     "tailwindcss": "^4",
-    "typescript": "^5"
+    "typescript": "^5",
+    "vitest": "^4.1.8"
   }
 }