Anyone know what this wire is that I smoked?

One end goes to the resistor, and the other end is cut.
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It appears that people are asking you to trace the wire that goes thru the firewall. Where does it terminate inside the cabin? The factory AC should have been powered from the ACC feed, which is in the dash. For some reason, someone ran from the IGN circuit (after the ballast?), back into the firewall. Perhaps for a custom ignition box or a tach (though tach's usually connect to coil- I think).