Just so my conscience is clear and I have said all possible remedies: I tried to say that the copper is still viable after the black is removed. I said not to clean the copper. I believed the copper runs were still all OK, just flaking coating. However, you said you could not get continuity. I didn't have you explain what you did, how you tested, what meter, what setting, where probes were placed and if you investigated where the copper was "broken". Or ask for pictures of copper gaps. Also, you are a mechanic. So that's why I abandoned using the existing circuit, and moved to suggesting something else without questioning your "continuity tests".
I do see all those white areas in your pics and assumed that was missing copper instead of glare from camera, discolored copper or residue from the black coating. I had to assume the copper was "eaten away" somehow....... or scraped away by someone trying to clean. The copper is probably only .005-.010 thick.