Demo with Next.js framework in serverless mode, hosted on Vercel

Next.js is the uprising React framework, it looks like a great candidate for Cloudflare Durable Objects demo because it has native Serverless support.

Would you consider building a similar demo (chat) using the [Next.js framework](https://github.com/vercel/next.js)? I'm sure it'd be a great visibility boost for this feature, and might even become the de-facto way to build real-time apps with Next.js.

Start by reviewing the existing workers-chat-demo and the linked Next.js project to understand how a comparable chat application would fit together. Done would be a Next.js chat demo using Durable Objects, running in serverless mode and hosted on Vercel; the issue does not name files or tests.

Written by the indexing model from the issue text.