It was within minutes. I had just uploaded the new version and wasn't finished with editing the page. I highly doubt that was someone finding my game except for a bot.
Viewing post in How do I prevent AI from using my content?
So? If that was in the analytics page, it still is not a scraping visit from a bot. It is a human visiting your game's page with the referal coming from chatgpt.
You have followers. And updates appear in https://itch.io/feed?filter=posts for everyone. This could have inspired someone to ask about the game specifially or the genre in general and chatgpt then linked your game.
And then of course there is coincidence in timing. Just because two events happen close together does not necessitate causality. Your game is second result for this search. https://duckduckgo.com/?q=Baroque+building+game&ia=web I do not know if my browser settings transmitted the referal, but you might have now visits from duck duck go ;-)