My bf of almost 5 years, is always going on second life when i'm asleep

I dunno if putting this in the right place, but my bf of almost 5 years has been on second life before he met me, always for the sexual stuff..., I have been with him since the first time he logged on it while I was asleep more then 3 years ago, he got mad but told he would stop...., He never did found out, he had been going on there while I slept this year..., plus we have a baby on the way which dunno if its worth to bring it into this type of reationship....

He lied to me about first about pics I saw, that were old on imgur, when they were this year...I dunno if its worth it anymore in this reationship...it felt like cheating the first time, and it still does this time to find out...I feel hurt, and betrayed he said he would stop...., He never stopped going on there its enoyable for him...hes always getting aroused from the game, saying I should trust him, when hes lied to me, and broke my trust more then once....I mean if its not this game its porn.....

I will add he is/was addicted to do sexual things with people on furcadia as well..., he plays wow constantly...much I love having a gamer bf...I admit I am a gamer as well....I dont like him doing sexual stuff with others I never have...told him before we got together, that I don't like that type of stuff what do I do?....

He's lied to me alot.....he never owns up to it....he doesnt seem to own up to his own sexuality either....(Took forever for me to get to say he was bi, and from what I've seen he's way more attracted to men then women....), I forgave him the first time...but at this point I am thinking about leaving...., he has almost done stuff with people on cragslist in rl...feel like he's not above keeping more secrets, and lies away in our reationship....should I just break up with him?....I need advice....I dunno what to do....I still feel hurt, and betrayed despite him doing this year in spring, and summer on the second life stuff....I don't honestly want to be with a cheater.....