When you were testing the starter control wire were you testing it when the engine was hot and not starting? We need to check voltage on the black wire at the starter while cranking when the issue is happening. I can only assume that we don't have voltage on this wire because if you have 12 volts on the red wire and on the black wire then the starter should turn.
If it is not, that is most likely the control side. Let's confirm this and then we can go backwards in the system until we find voltage and that will tell us where we are losing it.
Here is the wiring diagram for your review.
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Friday, June 25th, 2021 AT 5:03 PM