What color was the old unused wire that shorted out? Could that have been the wire for the brake light? For that wire to have caused a short, it must have had power to it.
The brake switch has to get power from somewhere. On my fuse box, there are two male output tabs with one female terminal having one green wire and the second terminal holding two green wires. The wiring diagram doesn't show it but I'm assuming that the terminal with the two wires go to the tach and voltage stabilizer and the single wire terminal to the brake light switch. Picture attached.
Appears that you got the brake light working so I would leave it be.