Reverse-Engineering Cookies with Ktor

Introduction
Tabroom is a website used by the Speech & Debate community to check tournament data, read ballots, look at judges, and basically serves as the primary hub of managing competitions. It was created by Chris Palmer as a hobby project and is now property of the National Speech & Debate Association.
As I've continued development on a TabroomAPI, which scrapes the HTML content of the website to provide readable data, I eventually found myself having to introduce an authentication suite for accessing new content on the website. Now, Tabroom has this neat little website called api.tabroom.com that has a lot of the same data as the main website, but in a much more usable format.
The only problem was that entire API... isn't actually accessible to the public, nor is it widely documented outside of its OpenAPI specification. Most of its methods are for specifically marked accounts. This means that I was pre