Is this consider cheating?

I separated from my husband 3mths ago, because he kept flirting with women on social media apps. He would compliment them with emoji kisses. During the 1st few days of the separation, he argued that him complimenting women isnt consider flirting, and doesnt mean he likes them. He threatened to cheat on me if i keep accusing him of it.

After he did that, i decided to ghost him for a whole mth by not reading or checking his messages. I went to stay w my parents for a while. He came over and we worked things out. But before we went back to him, i ask him if he was looking for someone else to replace me. And he said he never had the time to do that.

Well, i found out he was talking to another woman, and was planning to marry her if i decide to divorce her. During the separation, he emailed me her photos, ask me for forgiveness, and told me to hurry up and work things out w him, or he will decide to move on and officially date her.

Weve had a talk about this, and he said it isnt consider cheating. He said at least he lets me know about her, and he said he felt lonely and depressed cause i ghosted him. And he didnt know if i will ever speak w him anymore.

He ended things w her by telling her that hes a married man with kids, and a pregnant wife. He needs to be there for the kids, and if he never had a fam of his own, he wouldve get her as his wife.

Idk, do i need to leave? Is what he doing consider cheating?