Frustratingly bad customer support
For whatever reason, my Badlion account was linked to the wrong Microsoft account, and I went to make a support ticket on their discord.
The people responding were very short with me, and quite useless. I had to propose my own solution, which was deleting and recreating my Badlion account, but they said in order for that to work, I would need to delete the Minecraft account that it was wrongfully tied to (which is very radical and an insane thing to suggest). That was not an option, so I just ran with my plan anyway and was successful. If someone didn't know any better, they would have needlessly deleted their Minecraft account.