torn beyond repair?

My child's Father is the love of my life.  But broke my heart in a milion  pieces over a year little by little . See he likes to video sex chat with females. Him and the female masterbate on camera.   He always entertains himself like that as he gets bored he said .   He's on disability due to a back injury.  So he's home.   I bust my butt doing it all and I work outside the home.    I do it all for him and I can't say he doesn't do for me.   But i find that to be cheating because it real females he contacts.  On Facebook and other sites.   These females have no problem sex video chatting or showing their bodies to him.  He hides it cuz I hate it and I found out he's doing it again cuz I snooped . Call me whatever for snooping but I had to see if he really changed as he said.  Well I found out he hasn't changed. He recently contacted an ex and that was the last straw for me cuz it's someone he's been with and I don't trust it won't go no where since he video chatted her she said he video don't work but had it he would of asked for video sex perhaps he too . Our sex life is amazing and I please him very well . But he's alone most time til 5 pm.           He says he's bored and lonely at times and it's just to pass the time.  Would you leave him if you was me? Is it a big deal as I say ? He says he wouldn't hook up for sex it's just online. So far I've never seen evidence of hook ups only online. We have a 2 month old 😢 it kills me. Lay it on me thick please I want him back but he needs to stop and hasn't and more than likely won't