My boyfriend (M31) is obsessed with my (F20) teeth

We have been dating for 3 months now. In our second week of dating he said he is super attracted to me and my smile. I was very happy to hear this. He then said he wishes I had a nicer more perfect smile. I asked if he was being serious because I thought he was making a weird joke. He seemed more serious than anything so I asked if he is just saying this because it’s what a lot of men want? He said that yea teeth is very important to him and that he is really shallow when it comes to things like that. I told him that I’m sorry he feels that way and to have a nice day. He called me about an hour later and apologized and said he got a little carried away. He said he loves me just the way I am. I believed him and things went well. Yesterday he randomly asked if I had a dentist appointment this week. I said yes and he said can I ask a huge favor and I said ofc. So he said he wanted me to tell my dentist that he wanted me to have my front top teeth filed down a little and my front bottom teeth to be shaved down more than my top ones. I asked if he was being serious again and he seemed to be super serious. I told him that yea I have big teeth but that I like them. I also told him that it was my teeth and I can do whatever I want to them. He said that I should have them filed down because right now they are way too big. I said I’m not gonna do that and that it’s my decision but he kept trying to convince me. He then told me he was gonna pay for it so I should be grateful that he wants me to have nicer teeth. I said it’s okay thank you. And he said I’m going to call them for you right now. I told him I’m not gonna bring it up and that he couldn’t either. He then said that he wants me to have perfect teeth so when we take selfies he can be proud. I said okay that’s fine but I’m still not getting rid of my teeth. He said that I’m doing this the next time I go. I said okay sure. And he said so we’re agreed then. I ignored him and he kept going on and on about it. I told him a story about my teeth when I was younger and he interrupted me and said “yeah that’s because they are too big” . I said okay then we can break up. He said he was just saying that’s all and that I need to chill. I said okay maybe I’m being sensitive but my teeth is a big thing for me. I just feel like it’s wrong to complain about someone’s teeth. I’m also thinking that maybe I could just do what he wants even if it’s gonna hurt. But he already went through a lot of trouble for me. What should I do? I’ve never had anyone suggest I do something like this. Should I just go through with it? I’m afraid he’s gonna find a flaw with me after that. I don’t know what to do.