Obviously the blown cap wasn’t the only casualty of the crossed wires.
First off, I’d follow the circuit path on the board that the crossed wires hook to. Check for bad diodes or other signs of heat related failure.
It looks like there are some triacs on the heat sink on the one side, possibly those or their drivers are faulty. The other thing I’d look for would be a small transformer or voltage trimmer that cuts voltage to low level. (Like five volts) that could have blown too.
Really though, if a board is available, it could save a ton of hassle trying to figure this one out. Especially without a schematic of the circuit board.