Verification code loop - can't log in to Facebook account - not banned, still in possession of phone number and email

Hi everyone,

In an attempt to get Facebook to load yesterday, I decided to delete old cookies from my browser. Well that was a total fail, because now I can't log in to my Facebook account at all. It keeps giving me the page where it says to verify my login by clicking a number on another device, and I've tried doing this on 3 different other devices, but they all give me that same "verify on another device" page. I've tried having a code sent via telephone and email, but those don't work either. I've tried changing my password, but it won't let me.

Please, does anyone have a solution? I wouldn't even care except I was in the process of organizing an English class for a few people via a FB group, so it's a professional matter for me.