feat: 모든 패키지에서 타입 체크 명령어를 --noEmit에서 -b로 변경 및 @sammo-ts/game-api 의존성 추가

app/gateway-frontend/package.json

@@ -12,6 +12,7 @@
     },
     "dependencies": {
         "@sammo-ts/common": "workspace:*",
+        "@sammo-ts/game-api": "workspace:*",
         "@trpc/client": "^11.8.1",
         "@trpc/server": "^11.8.1",
         "@vueuse/core": "^13.9.0",

app/gateway-frontend/tsconfig.json

@@ -31,9 +31,19 @@
       "@sammo-ts/logic": ["../../packages/logic/src/index.ts"],
       "@sammo-ts/logic/*": ["../../packages/logic/src/*"],
       "@sammo-ts/game-engine": ["../../app/game-engine/src/index.ts"],
-      "@sammo-ts/game-engine/*": ["../../app/game-engine/src/*"]
+      "@sammo-ts/game-engine/*": ["../../app/game-engine/src/*"],
+      "@sammo-ts/game-api": ["../../app/game-api/src/index.ts"],
+      "@sammo-ts/game-api/*": ["../../app/game-api/src/*"]
     }
   },
   "include": ["src/**/*.ts", "src/**/*.d.ts", "src/**/*.tsx", "src/**/*.vue"],
-  "references": [{ "path": "./tsconfig.node.json" }]
+  "references": [
+    { "path": "./tsconfig.node.json" },
+    { "path": "../../packages/common" },
+    { "path": "../../packages/infra" },
+    { "path": "../../packages/logic" },
+    { "path": "../../app/game-engine" },
+    { "path": "../../app/game-api" },
+    { "path": "../../app/gateway-api" }
+  ]
 }