I caught my boyfriend flirting! He won't admit it! Was it flirting? Is it cheating? Could he not know it was flirting?

Anonymous
My boyfriend and I were both 18 and had never had other relationships before. One day my boyfriend was insecure because I told him there were some things I didn't like him to do in bed ( he doesn't have much experience). He got really insecure and kept thinking about it and asked me to look at my phone. I said it was ok but we can only look this time. He agreed. Then I looked at his phone and he was ok and I found something that had happened 6 months ago. He sent a dirty joke to a "friend" and she was kinda dry responding and then said he he was home alone and hated falling asleep when there's no one home because it was so lonely. She said then why don't u call ur gf? He then said oh I wish ( I was sleeping). He was just fine showing me that. Then I started crying and he acted like he didn't understand. He said she was just a friend and they were joking. It had also happened a similar thing but I was fine because he showed me and it was him calling a girl who was into him babe but also told her he had a girlfriend. I pretended i was him and talked to the girl he flirted telling her what happened and she said it was ridiculous and they were just friends and then she came talk to me saying that I should apologize to him for thinking he was a cheater and stuff. But then why did was she dry and why did she tell him to call me? I don't know what to do... was this cheating? He won't even admit it was flirting he just says he was dumb and didn't think how it looked
I caught my boyfriend flirting! He won't admit it! Was it flirting? Is it cheating? Could he not know it was flirting?
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