No, NM, you just don't like being lied to when your kids' emotional well-being is at stake. I'm with you and so is every other parent on this board. At a minimum, you needed to know so that you could be prepared to discuss it with your kids when they have questions.
You can be "done" if you want, of course, but as GH always says, what has really changed? He was lying to you about the A before and he's lying now. The biggest change seems to be that you thought you were making progress and now that seems to have evaporated.
Personally, I'd advise going dark for a while. I think it's impossible to DB when you're as angry as you are right now. It's helped me a lot to have time when I simply wasn't talking to my W ... I could GAL and have some peace because I wasn't constantly worrying about what I would say to her.