Add deploy with Vercel button to api-routes-apollo-server-and-client example (#22841)

examples/api-routes-apollo-server-and-client/README.md

@@ -4,6 +4,12 @@
 
 In this simple example, we integrate Apollo seamlessly with [Next.js data fetching methods](https://nextjs.org/docs/basic-features/data-fetching) to fetch queries in the server and hydrate them in the browser.
 
+## Deploy your own
+
+Deploy the example using [Vercel](https://vercel.com?utm_source=github&utm_medium=readme&utm_campaign=next-example):
+
+[![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/git/external?repository-url=https://github.com/vercel/next.js/tree/canary/examples/api-routes-apollo-server-and-client&project-name=api-routes-apollo-server-and-client&repository-name=api-routes-apollo-server-and-client)
+
 ## How to use
 
 Execute [`create-next-app`](https://github.com/vercel/next.js/tree/canary/packages/create-next-app) with [npm](https://docs.npmjs.com/cli/init) or [Yarn](https://yarnpkg.com/lang/en/docs/cli/create/) to bootstrap the example: