Just to be sure we are on the same page, but it sounds like we are, I am attaching the info below on this flasher module.
However even if you replaced that and traced the wires, we are still dealing with a short. Anytime a fuse blows as soon as you put it in, we have a short to ground prior to the load in the circuit. Basically, we need the load (light bulb, module, actuator, or whatever is getting powered) to use the voltage so that the current is used as well. If we don't then the current racing through the wire creates heat and that will melt the wiring or blow the fuse.
So, I understand you inspected the wiring but let's check it for a short to ground with a meter or test light and that will tell us for sure. Or you can just run a new jumper wire and see if the fuse stops blowing. Sometimes you cannot see the pinched wire, so it is missed.
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Thursday, December 30th, 2021 AT 7:25 AM