To start with, your kit looks exactly the same as mine, so that’s good. Next, I would throw away the controller; mine seemed to work initially but then I would find the DRLs on when the car was parked on the drive and I had to swap it for a relay (and others had reported similar problems at the time). Save yourself some time and go with a relay from the start - which also makes your question about the black wire redundant. Attached is the wiring diagram that I did at the time and it’s all still working as it should. It’s a bit fiddly getting at the bulbs and so on, but really not that difficult. Good luck!
