How to convince my dad to let me get a nose job? I'm 13?

My mom is completely on board. In fact, she's the one who suggested it and took me for a consultation! The doctor said it would really bring my facial features into harmony. I'm going into 8th grade, and I would like to get it next summer before high school. It might sound crazy since I'm so young, but I'm tired of being made fun of and singled out as "the girl with the big nose." It's insane, and it gets worse with every year. My self esteem is extremely low because of my nose. I spent the 7th grade (last year) depressed because I was being made fun of so much. I got all sorts of names! I never showed my depression though (depression and suicide runs in my family..) and I don't really want to bring that up as a point to my dad. He has this whole argument about accepting my appearance and stuff but that won't make other people accept it and stop making fun of me. And I find it near impossible to look in the mirror and tell myself "you are beautiful" without knowing I'm lying to myself. He says what I'm guessing most of you will say about "if you get a nose job, you'll be materialistic and fake." so I don't really need to hear that. What I would like is to know some more points I can bring up to make him agree? My mom has already tried to convince him. Thank you so much!