Tailscale has a feature which assigns you a random network subdomain off ts.net. You can use it to find any system by name. But also you don’t need it. You can usually just access the services via the host name if your client is attached to tailscale and also has open ACLs for the services you are accessing. as far as i know there is no way to do what you are trying to do and I’m not sure why you are trying to do it. if you are trying to make a service public you probably want to use something like cloudflared instead.