Such wonderful wisdom on here. I don't think I can add anything that has not already been said more beautifully.
I will say that I'm so sorry you're in this situation lostone, so much of what you say resonates with me. I am also struggling with the 'family' stuff - and to be honest, we are going on a family vacation to a resort we've gone to every year since they were born this summer for 2 weeks (I'm bringing my sister along) bc the kids (8 and 11) are begging for it - but it will 100 percent be the last.
It is him asking you to do the emotional lifting to keep the family together, and I've done that for nearly 2 years now, and it has not accomplished anything apart from eat away at my own healing and sanity. Truthfully, I had hoped it might help keep him anchored to our family, pay attention to the kids, see what he was missing, give up his AP, want to be involved in their lives (if not mine), but all of my efforts - sending videos of the kids, suggesting calls to him, allowing him to stay here with us for weeks at a time and sleep in the guest room, it did not work. He is farther away from acting in any way, shape or form like a dad than EVER. It's still hugely painful for me, and has been a big step, letting go of any hope of him being a parent to our children, the ones we were both so desperate to conceive, the ones whose birth made him the happiest man alive at one time. I will never understand this.
But one thing that I read throughout all this wisdom, and have read since my own BD in 2023 is that you have to focus on you and your kids only, you have to matter more than he does now, (when you love your spouse you always put him first and it's a hard habit to break), and you can change your mind anytime. Sometimes I don't speak to him for weeks because I need that space and other times I am able to talk to him for 20 mins or so on a video call about logistics and important details ab family and it's warm and I feel encouraged. (temporarily, it's always temporary)
But do what feels right for you at that time. It sounds like you are doing all the right things!