fix: resolve TypeScript errors in migrated components

apps/api/package.json

@@ -30,7 +30,10 @@
     "@mosaic/shared": "workspace:*",
     "@nestjs/common": "^11.1.12",
     "@nestjs/core": "^11.1.12",
+    "@nestjs/mapped-types": "^2.1.0",
     "@nestjs/platform-express": "^11.1.12",
+    "@nestjs/platform-socket.io": "^11.1.12",
+    "@nestjs/websockets": "^11.1.12",
     "@prisma/client": "^6.19.2",
     "@types/marked": "^6.0.0",
     "better-auth": "^1.4.17",
@@ -40,10 +43,12 @@
     "marked": "^17.0.1",
     "marked-gfm-heading-id": "^4.1.3",
     "marked-highlight": "^2.2.3",
+    "ollama": "^0.6.3",
     "reflect-metadata": "^0.2.2",
     "rxjs": "^7.8.1",
     "sanitize-html": "^2.17.0",
-    "slugify": "^1.6.6"
+    "slugify": "^1.6.6",
+    "socket.io": "^4.8.3"
   },
   "devDependencies": {
     "@better-auth/cli": "^1.4.17",