Relationship advice needed

Hi so my and my ex ended things finally. Of course I have the hope of us working it out. And with that hope I’m trying to make the right moves post breakup. In my humble opinion he was the one that caused a lot of damage in our relationship. He continued communicating with his ex who openly disrespected me on multiple occasions. He held onto their emotional connection and invalidated my feelings. He also hung out with her (non physical allegedly but still deceitful imo) on two different occasions behind my back. I begged him to stop communicating with her…he projected it back at me like I was “nagging”. Anyways the rest of our relationship was heaven…he’s an amazing man who I could absolutely see the future with and I wanted more than anything to build with. We built a business together we made so many good memories. Yet he could not do this one thing I was asking. He had issues with me too don’t get me wrong I’m not perfect but I do think my issues were minimal compared to communicating with an ex. I was willing to make changes in order to make things better. He blatantly told me he won’t stop communicating with her. We ended up breaking up and he is begging me to not cut him off and still allow him to “be there for me”. I think it’s not a good idea if I have any hope for the future and him actually making the change I’m asking. I went by his house yesterday to grab my stuff and he filled my gas tank up and was really sweet. He is trying to end it well but I don’t think I can continue communicating with him as he’s actively hurting me. He doesn’t even think what he did was wrong lol🤷🏼‍♀️I just want to make the right choice now in hopes that maybe one day in the future we can possibly reconnect when he’s ready to make the change I deserve. …obviously it’s not now. Is no contact best? Thoughts?