This is conditional on the probability of the ingredients of life turning into life not being extremely low.
But that is precisely the whole point of the argument: if it had indeed been extremely unlikely, then we would expect to be living in a much older universe, one that would have had much more time to meet the necessary conditions!
But that is precisely the whole point of the argument: if it had indeed been extremely unlikely, then we would expect to be living in a much older universe, one that would have had much more time to meet the necessary conditions!