Need help defining hostname schema

import { type } from "arktype"

const Thing = type('string.url.parse').pipe(s => s.hostname)

const out = Thing('test.com')

import { type } from "arktype"

const Thing = type('string.url.parse').pipe(s => s.hostname)

const out = Thing('test.com')

I want to allow the input to be with and without https:// prefixed but still go through this url parsing...

Any idea how I can do that?

Need help defining hostname schema - arktype