Should i tell my ex bf that i drunkly "slept" with his friend?

Hi, im new to all this reddit stuff but this has been eating me alive and i need help. So 2 months ago i went out with a friend(whom i met through my ex) to the club and i was just gonna go out and have fun, drink and dance. Ive only recently started drinking so i obviously cant handle my liquor and i ended up getting quite drunk, i barely remember what happened that night. Since i went out with this friend, i was gonna sleep over at their place since i couldnt go home drunk. When we got to their place i was ready to go to bed and sleep, but according to them we got in bed and they started cuddling me and then we ended up sleeping together. I honestly feel so disgusted and disappointed in myself for it, even though i genuinely remember nothing of that night. I was still and am still in love with my ex and i dont know if i should tell them what happened. Im scared that if i do, they'll place the blame on me or maybe their friend would twist the story and say i jumped onto them. What should i do?