> every single mistake has an alternative action that was a non-mistake
This is only true for a very narrow view of what a "mistake" is. Classical tragedy is more inclined to the view that in some situations, there will be at least one mistake somewhere no matter what choices people make.
In a more contemporary source, there's an episode of Friends in which the backstory is that, years ago, Phoebe married a gay ice dancer so that he could get a green card, and also because she was secretly in love with him. He comes back to ask for a divorce because he's learned that he isn't gay after all and he's fallen in love with another girl.
This is painful for Phoebe, and she asks "Do you think, if you'd realized you weren't gay earlier, that we could have..." "Never mind, I don't think there's any answer you could give that would make me feel better."