Anthropic ipo price vs private pre ipo price

the price per share to buy in a private venture or one of the few companies that are offering to accredited investors the ability to buy shares around $259-$270. so what does this mean that the company will ipo at regarding price? it would obviously have to be higher than the $259 price If that’s wbat early investors are paying. most ipo’s crash at open. this one seems like it could run like crazy with the first day buying it could melt the servers. I know open Ai and Anthropic will suck up 100’s of billions in the first few trading days and already has billions invested early if not trillions. how can a stock selling this high pre ipo open and it not be a crazy high open ipo number. any thoughts on buying ore ipo or risking buying on ipo day if it falls.