Registration will be free (compare Form N-400 to become a U.S. citizen which costs $640 plus an $85 biometric services fee, totaling $725), you just get free benefits.
There isn't any signup form yet but you can email the Founder Robert Viragh at rviragh@gmail.com with the message "request for citizenship in Utopia" and I can give you citizenship, by our laws anyone gets citizenship upon their request. (I will reply with confirmation within 24 hours, you can reply here if you emailed me and I didn't reply to you.)
I can hear you thinking there's no way a sovereign nation will be run and owned by AI and give out free money, goods, and services. Well here's our complete game of chess: https://taonexus.com/chess.html made by AI purely for your amusement, it's a 1500 year old game people obviously get utility from (spending $10 to $1000 on chess boards for example, with tens of millions of boards sold per year). So clearly this type of game is of some use/utility to people. I have fun playing it for example. AI just made it for you for free.