, as well as possible add a tap into the bridge pickup so that the middle/bridge position doesn't suffer from having an overwound bridge pickup.
Excellent idea. Taps are way underrated.. on the other hand they are a bit difficult... Both for the winder, but also choosing the tapped and untapped length.
This may be a perfect job for the custom shop since they probably do more taps in a month than I used to do in a year.
And if you get them right they are amazing... I double tapped a decent number and triple tapped a few along the way just to try to find sweet spots, and boy is that a pain in the butt.
But if you find it, it is amazing to have a clear clean signal and an over the top punchy signal.