AIBU not talking to my ex

[Foundthestrength]

First post here and abit long but need to give abit of background please bare with me. Me and my ex were together 11 years we have 3DC together 7,6and 6months the relationship was good to start with but he soon became both verbally and physically abusive which I let him get away with. He also had a child with another women while we were together which I also forgave him for and I was caring for this child 4days a week like they were my own and still do look after the child for a few days every few week ( I know most people think I'm a mug for this but it's not the child's fault and they are my DC sibling) A few months ago I woke up one morning and decided enough was enough and asked him to leave he surprisingly went quietly and without a fuss he was still seeing DC everyday even if only for a few minutes and we were talking on the phone at least once a day and getting along better than we had in longer than I can remember. A few weeks ago a family member invited me and DC for a weekend away with them and their DC to which I accepted my ex was furious and told me we could not go I told him we were going and we went. We were supposed to leave on the Friday morning and return on the Monday morning he wasn't happy about DC missing any school so I sent them to school on the Friday and we set off after school and returned on the Sunday evening so they could go to school on the Monday. The whole time we were gone he didn't contact us once and on the Monday morning rather than calling me he rang the school to ask if DC were there. They were at school and the school rang me to tell me he had rang. He hadn't been to see DC and hadn't phoned until Wednesday. When he did ring I gave the phone to DC1 to answer and talk to him.
I have nothing to say to him and after years of his controlling and abusive ways am finally finding some self respect and confidence.
AIBU to not talk to him unless it's about DC?
I would love to know what other people's opinions on this are
YABU you should talk to him
YANBU you don't have to talk to him if it doesn't concern DC.

You can make your own decisions about the DC, you don’t need his permission to take them out of school. The friendship you developed with him after separation was clearly superficial and he wants to dominate and control you.

Just go ahead and do as you’re doing, making your own decisions. No need to talk to him except when there is essential information to be shared about the DC.

Just get on and enjoy your life.

You're going to have to talk to him at some point about the kids, however, if the conversation is going in a way you don't like them you can either completely ignore it or tell him it is not his place to tell you what you can do with your children and then leave it at that.

If he wants to punish your children by not calling when you do something he doesn't like then that's on him, he needs to learn that emotional blackmail is not acceptable so try not to cave to this.

I would set a routine for contact rather than every day so that you can keep your communication with each other to the bare minimum.