Did he cheat or am I overthinking things

My bf made it clear he didn’t want me texting male friends. So ofc I asked him about his female friends and he said he doesn’t have any and that he doesn’t believe in having them when he’s in a relationship so then he said since he’s in a relationship he doesn’t text other girls. However he gave me his phone one day and a girl who I did not know texted “hey” so I responded back “hey” too. She said “you must not have read my paragraph” then i said “what paragraph” and she said “did you delete it” I said “yea send it again” because I wanted to know what she was talking about. Unfortunately she didn’t respond when I had the phone and when my bf came back again I asked him about the girl and the conversation. He said she’s just a girl he plays the game with. And I said so y’all text also? He said only to say “hey I’m on the game” to let each other know. But she was literally talking about a paragraph which I questioned him about and he said he doesn’t know what she was talking about. Also it’s clear the messages were deleted because when she texted hey there were no previous messages. So I asked why he deleted their conversation and he said he deletes conversations in his messages all the time when it’s old texts/people he doesn’t talk to often. Also, he said they play Xbox together yet he doesn’t play Xbox anymore he only plays PlayStation. He said hadn’t played Xbox in months. So I asked if you only text about the game and weren’t on Xbox for months then why was you texting her... he says because she talks to me about her life like her bf and family problems. Oh so when I first asked it was just talking about the game and now it changed to y’all talk about each others lives. I don’t have as much of a problem with female friends just as long as I know them and there’s boundaries. This bothers me because he kept it from me. He swears he didn’t cheat on me with this girl. It’s also weird cuz he went crazy for me having this one male friend that he knew of. He felt like the guy liked me or something but we were just good friends. I was friends with him before ik my bf and my bf told me to block him and stop talking to him because he felt uncomfortable with him being around me, which I sorta understand because if it was the other way around I’d want him to do the same. It just frustrates me because he was so upset about this one male friend and didn’t want me to text or interact with any males yet he was texting a female and deleting their conversation.. like for what I don’t get why hide something when you claim nothing is going on

Also I was going through some of our stuff and I’m pretty sure the girl texted at midnight saying hey.