“Where is the .ai domain?”
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It can be anywhere - i.e. you can be in West Buzzard Creek, Wyoming ,and buy a name with the .ai extension. If you have a domain name that is already taken in the .com - .net - .org world you can buy another lesser known extension. (I would guess that”Gab” is already taken, hence the use of .ai).
But if the extension did were restricted to a geographic location, this would be in Anguilla.
To find out who owns a domain you need to do a “who is” check. You can search sites such as this one for gab.ai:
https://www.whois.net
Btw, there is a Buzzard Creek in Wyoming.