I have a late 3rd brake light assembly and parcel shelf out of a 325i that I want to retrofit into my '84, which doesn't have one. There are 4 pins coming out of the 3rd brake light assembly, 2 of which look like they have to do with the check panel, according to the wiring manual:

The 1984 brake wiring for comparison below. It looks like if I want to do it legit I put pins 3 and 4 from the brake light assembly between the 'brake lights fault indicator' and the 'rear lights check relay' and grab power from after the brake switch.

A concern I have is that the wire coming from the brake switch going into the check relay is larger on the 325i diagram. If I remember my electronics rules correctly, putting another load in parallel won't affect current in the other branches, so I'm not sure why that wire is bigger. It looks like the wires are the same size elsewhere.
Aside from the wiring size, how big of a pain in the ass is it to actually do this? Where is the relay and fault indicator located? The other option would be to just to wire the light in parallel with one of the brake light branches, which is what I guess is done with the aftermarket 3rd brake lights available. The only problem that option might have is pulling too much load on one of the wires, maybe an LED would pull less current than the incandescent in there?
Looking for some input from anyone who's done this or is good at electronics.
Cheers

The 1984 brake wiring for comparison below. It looks like if I want to do it legit I put pins 3 and 4 from the brake light assembly between the 'brake lights fault indicator' and the 'rear lights check relay' and grab power from after the brake switch.

A concern I have is that the wire coming from the brake switch going into the check relay is larger on the 325i diagram. If I remember my electronics rules correctly, putting another load in parallel won't affect current in the other branches, so I'm not sure why that wire is bigger. It looks like the wires are the same size elsewhere.
Aside from the wiring size, how big of a pain in the ass is it to actually do this? Where is the relay and fault indicator located? The other option would be to just to wire the light in parallel with one of the brake light branches, which is what I guess is done with the aftermarket 3rd brake lights available. The only problem that option might have is pulling too much load on one of the wires, maybe an LED would pull less current than the incandescent in there?
Looking for some input from anyone who's done this or is good at electronics.
Cheers
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