A new, A.I.-powered private school has unveiled its summer camp program. And the activities ain’t tie-dying and scavenger hunts. The Alpha School’s day camp in the Hamptons promises “life skills” for its youngsters — including “preparing and serving omakase and building a giant Trojan horse which will be burned in a bonfire on the beach.” The Alpha School states that it offers “preparing and serving omakase and building a giant Trojan horse which will be burned in a bonfire on the beach.” The Washington Post via Getty Images The nine-week program that features the unusual camp activities costs $40,500 for the summer. De Agostini via Getty Images We’re told the nine-week Baby Burning Man costs $4,500 a week, which adds up to $40,500 for the summer — a sum to make your eyes water worse than stray sunscreen.…