Sweetie, with all due respect? You need to grow up.
Your parents are not infallible. They are human. That means they have feelings and make mistakes, just like everyone else in the world. Sometimes they drink too much. Sometimes they tell lies. Sometimes they act immaturely. And yes, sometimes they even have affairs.
You don't know the circumstances which led your mother to act as she did - and it is not your business to know, unless she chooses to tell you.
Does that make it morally right for her to say one thing and do another? Of course not. But it also doesn't make it right for you to judge her.
Forgive her - and yourself - and go on from here.