The BCM is basically a printed circuit board with a load of chips on it, inside a plastic box. The tracks are absolutely miniscule so unless you have very good eyesight, it's difficult to see where there is any break. I took a photo of my PCB (zoomed in) so I could then zoom in again on different areas, looking for a break.
Look for any area that seems to have a brown scorch mark, since PCBs tend to go where the solder hasn't laid down at the correct thickness and therefore causes resistance, heat and then melting, which breaks the circuit. If you're "lucky" the break will be in plain sight, not under a chip, so you'll know that there is a problem with the PCB and that it's not something else.
On mine, I had what looked like a break just under the edge of one of the chips... so I couldn't be sure that would be the place to fix (even if I had a soldering iron the thickness of a human hair...) but in the end it didn't matter .. an ECU repair place just swapped the chips from mine onto a second-hand BCM and it's been fine ever since.
If you can't see an obvious break anywhere then the pro's can just test the circuits on the PCB to prove that the fault is on the PCB. That will cost a bit... but it will save you looking for other problems if the BCM has the fault. Obviously, once/if they find the fault, they might be able to just repair it there and then.
You could try wiring the lights (or at least a relay to operate them) via another circuit, like the tell-tale light.. but the system is CANBUS i.e. voodoo and I don't know how that will react to having an extra draw on that wire. It might be quicker to get it done this way/interesting to see how it works.. but it might cause other issues. instead.
Ralf S.