Boyfriend cheated on me drunk, how to cope?

Childgoddess
My boyfriend of almost one year ended getting drunk with this random girl from the bar one night away Town from me. He ended up f***ing her that night . He has told me more or less he didn't remember too much what happened that night , just that they were drinking, then next minute he knew it he was having sex with her from behind with his clothes off. And remembering after he couldn't get off, told the girl he was going to sleep and just left her there. He told me after what happened after lying to me 6 times about. I found out he cheated on me because he a nasty STI. I feel so freaking gross to have it and I feel so low inside he would cheat on me cheat. The first time he had cheated on me with was some another random girl at the bar alone by kissing her and letting her give him a hickey on his neck. I know since I've been with him, he never done anything sober like this from what I know. He has told me something like he doesn't check out other girls sexually and I satisfy him much in bed. He wants to make it up to me by dealing with his drinking problem by going to Rehad. And in the mean while he wants to get a addictions counselor and go to AA meetings with me. I still can't get over the f*** he would cheat on me drunk. He said was naive and thought he could control his drinking and that's why he ended up getting drunk at the bar after being sober for a almost a month of not drinking. I feel so angry, hurt at him and just feel like beating the sh*t outta of him. We are back together as a couple. I just kept help but feel so sad still and feel he just doesn't care what he has done to me. Any suggestions and tips on how can I recover from a boyfriend who cheated on me drunk?
Updates
+1 y
Yeah, he's been going to AA meetings. He went to get a alcoholic assessment and plans on going to Treatment soon. He has tried making up for the wrong he has done by keeping a stable job that pays really good money
Boyfriend cheated on me drunk, how to cope?
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