Now you have two omnipotent god entities, each offering you a more or less random result. All you know about the result is that it's going to be positive or negative.

One of which is in a temporally advantaged position in which he can do anything you can do and do more in addition to that - a strictly superior position.

Do you get, on average and over a very large sample size, more utility from killing the baby or not killing her?

Without auxiliary arguments about what sample space we are drawing from, I don't see how you could possibly come to any kind of conclusion about this.