

You can give your info to the registrar and then make it anonymous to whois domain.tld
searches so it’s not public. Cloudflare is the registrar I use these days because it’s a one-stop shop and used the company address but, at least in the U.S., they need your info for both credit/debit card processing. (Processing fees are cheaper the more info they provide but usually any address with the same zip code is enough.)
If you have nefarious plans, I don’t have a good recommendation. But if it’s just about privacy, I don’t know if it’s really possible to be completely anonymous anyway. I guess you could use a gift card or something but at least in the U.S., if you own or buy a house, your address is public info already anyway. Shit, city hall will probably give you blueprints of any house.
Probably more like “Elon Musk tells some manager to tell an engineer to delete the posts and then gives hazy, contradictory instructions while in a K-hole.” It’s not like he does stuff besides raise money and be a mascot.