Okay, you will have two wires showing power, but it still grounds through the front park/signal lamp.
Take a look below. I highlighted the things to identify them. Ground goes from those marker lights to the front park/signal lights and then to ground on the left rad support bracket.
I have a very strong feeling either one or two things are happening. Either the ground at the rad support is weak and fails under the extra load, or the splices are bad.
Just for the heck of it, run a good ground for both front signal/park lights. That will indirectly create a new ground for the side markers. If the same problem happens, then it has to be the splices.
Also, if you want to try this. Remove one of the 194 and see if the system does the same thing. Do it on both sides. If it is a splice problem, it should only happen when one of the bulbs is plugged in. In other words, if the left side is the problem, the right side and all lights should work normally when the left bulb is out. That will reduce the load on that splice.
Let me know. I know this may sound crazy, but wiring in and of itself can drive anyone crazy. Hang in there. You are doing a great job.
Joe
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Friday, May 28th, 2021 AT 5:26 PM