What vocal type am I?

I have a range of B2 to E5. Decent enough I guess. So in my old school we had singing lessons which I only took for 3 months before my parents exempted me. Anyhow my teacher had classified me as a dugazon mezzo soprano. A year later my friend's dad (he's a vocal trainer) classified me as a contralto. Last week I met my old teacher again and told him about my new classification and he tried me out on some range tests and such, and told me I was still a dugazon mezzo. So (I'm silly lol) I texted my friend to ask her dad again if he was sure I was a contralto n he was like I'm 100% certain. And now I'm confused. What would you classify my range as?
If it helps I find all of lana del rey easy to sing. I also find billie eilish easy to sing, but only certain songs like ocean eyes and six feet under. I can't get some of her really high notes though, like the kind in when the party's over. Basically anything above E5 ofc. If there's a couple notes I have to lower to sing her stuff then that's all right but if the whole song is too high I can't obv.
Also I prefer singing in a lower key. I start feeling queasy-ish at the higher end of my range hehe and I feel dissatisfied with my singing when singing in a high key. When I'm done it just doesn't feel right even if people say I sounded good.
Would appreciate your thoughts and any advice you may have