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Create Cloudflare Worker

Navigate to the Workers & Pages > Create application > Create worker. You should be presented with the following screen where you can create a new Cloudlfare worker.
Create a Cloudflare worker
Keep in mind: If your DNS provider is Cloudflare you should not use proxying for the CNAME record

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Add custom domain

Once the worker is created, click Configure worker. Navigate to the worker Settings > Triggers. Click on Add Custom Domain to add your desired domain into the list - we recommend you add both the version with and without www. prepended to the domain.
Cloudflare worker custom domain
If you have trouble setting up a custom subdirectory, contact our support team and we’ll walk you through upgrading your hosting with us.

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Edit Worker Script

Click on Edit Code and add the following script into the worker’s code.
Cloudflare edit code
Edit DOCS_URL by replacing [SUBDOMAIN] with your unique subdomain and CUSTOM_URL with your website’s base URL.
addEventListener("fetch", (event) => {
  event.respondWith(handleRequest(event.request));
});

async function handleRequest(request) {
  try {
    const urlObject = new URL(request.url);
    // If the request is to the docs subdirectory
    if (/^\/docs/.test(urlObject.pathname)) {
      // Then Proxy to Mintlify
      const DOCS_URL = "[SUBDOMAIN].mintlify.dev";
      const CUSTOM_URL = "[YOUR_DOMAIN]";

      let url = new URL(request.url);
      url.hostname = DOCS_URL;

      let proxyRequest = new Request(url, request);

      proxyRequest.headers.set("Host", DOCS_URL);
      proxyRequest.headers.set("X-Forwarded-Host", CUSTOM_URL);
      proxyRequest.headers.set("X-Forwarded-Proto", "https");

      return await fetch(proxyRequest);
    }
  } catch (error) {
    // if no action found, play the regular request
    return await fetch(request);
  }
}
Click on Deploy and wait for the changes to propagate (it can take up to a few hours).