example of using a cloudflare worker (for custom domains) in front of a lambda fURL

worker.js

const furlDomain = "lf4rhhulpamois3oz5z4i3anpe0loidx.lambda-url.us-east-2.on.aws";

async function handleRequest(request) {
  const url = new URL(request.url);
  url.hostname = furlDomain;
  
  const newRequest = new Request(url, request);
  newRequest.headers.set('Host', furlDomain);

  return await fetch(newRequest);
}

addEventListener("fetch", event => {
  event.respondWith(handleRequest(event.request))
});