This being said, since you got a scare, maybe it's a good time you buy a 2nd domain from another registar and handle accordingly.
PS: how does one find a good domain name?
The main advice would be to avoid Google as if it were the plague. There are other free and paid providers that don't have a persisting and renewing rumour of suddenly, without warning, pulling the plug on you and then making it impossible to get in touch with proper support to try clear things up.
brute force checking thousands of examples till you find one that isn't squatted.
domainr [1] is fast and has a cool autocomplete feature that mixes domain endings with your name
A time machine might come in handy.
(I can just see the cartoon now: guy invents time machine, friend asks if he’s going to stop Hitler, he says no, but to register a good domain name. (Never mind the practicalities of the ten-years-at-a-time limit.))