UPDATE:
I did some digging around and found the brake control power supply (located in the rear left corner of the trunk under the paneling), and found some moisture in the compartment it sits. I noticed the edge was bulging a bit so I disconnected it and found some exploded resistors. Seeing as though this is likely the problem and needs to be replaced either way, I’m going to replace it and bring an update on the situation when that time comes.
Pictures included for anyone’s curiosity