Ex and new guy, no commitments

My ex of 5 years and I broke up two months ago. We’re still in love with each other but won’t ever be able to be together due to cultural differences. He made it very clear that he will never marry or have kids with me. We still talk everyday on facetime and hang out and have sex at least once a week. We’re both on dating apps and still say we are single, even though we still say “i love you” on the phone together.

I met a man on a dating app who I’ve also been face timing and talking to everyday. We won’t be able to see each other until November because of his work and he doesn’t live in my state. He tells me that he wants to marry me and be with me and that he wants to move to my state. We sext often too.

I feel so guilty. I feel like I am doing something wrong because I’m still in love with my ex and trying to get to know other people. I know I am single and don’t have any relationship with either man.

Is the right thing to do is cut my ex off completely? He’s been my best friend and only support system for so long. I don’t want to live a life where he’s not in it. But I also don’t want to continue to drag my life on hoping one day he will change his mind. I would love to stay friends but how do I do that while seeing other people?

It’s eating me alive and I don’t know what to do. I feel like i’m cheating but I have no commitment to either man. I have my therapy appointment on Thursday but I need to get this off my chest now.

Any advice?