There are many ways this is wrong. The usual claim of believers is to introduce very large numbers as probabilities. Let me show you how easy it is to have very large numbers.

You exist because a particular sperm met a particular egg. By the most recent studies at least 10 million, 10^7 sperm trying to be the first to the egg -- ignoring the 100 million or so others which are also produced.

That means the odds against you existing in the simplest case is ten million to one.

But wait! There's more! A Ronco toaster-broiler oven!

You father and mother are also the product of those same odds. So the odds against them just being your parents is 10^14 to 1. But they also had parents at 10^14 each or 10^56 just to produce your parents who produced you at 10^7 to 1 for 10^63 just to get you from your grandparents. If we go back to eight great-grandparents we get 10^14*8 + 10^7 just to get to you. That gets us to 10^129 to 1 against you just looking at grandparents.

As life is an unbroken chain by definition and just for moder humans at a minimum of 100,000 years old and 5 generations per century that is 2000 generations and I leave the math to the intersted student. It is a very big number far larger than any anthropic universe nonsense claim.

And the odds against you are this trivially small only if we ignore all sexual reproduction back to the beginning of sexual reproduction as well as everything that made ejaculation exactly when it was so that a different sperm did not get to the egg first.

And then start multiplying ALL the other reproductions had to go as they did as a female Julius Caesar or Napoleon makes a huge change in history.

Are the anthropic principle odds impressive? No. In comparison to you existing they are almost a certainty.

All of this means playing games to produce big numbers should only result in being impressed by the person's ability to produce big numbers not rational arguments.