refactor: remove core-realtime from main (scaffoldable via gen core-package realtime)

apps/web-next/package.json

@@ -19,7 +19,6 @@
     "@repo/core-api": "workspace:*",
     "@repo/core-cms": "workspace:*",
     "@repo/core-events": "workspace:*",
-    "@repo/core-realtime": "workspace:*",
     "@repo/core-shared": "workspace:*",
     "@repo/core-trpc": "workspace:*",
     "@repo/core-ui": "workspace:*",
@@ -35,12 +34,10 @@
     "react": "^19.0.0",
     "react-dom": "^19.0.0",
     "reflect-metadata": "^0.2.2",
-    "socket.io": "^4.7.0",
     "superjson": "^2.2.1"
   },
   "devDependencies": {
     "@playwright/test": "^1.50.0",
-    "socket.io-client": "^4.7.0",
     "@repo/core-eslint": "workspace:*",
     "@repo/core-testing": "workspace:*",
     "@repo/core-typescript": "workspace:*",