Trying re-engineer a noise reduction system for guitars

Hi all, First post here. Please LMK if this isn't the right forum.

Ernie Ball Music Man has a device called a Silent Circuit (background: https://blog.music-man.com/instruments/what-is-the-silent-circuit/).

The original implementation is no longer made, but it works well and I am try to replicate it. It is based on this expired patent: https://patents.google.com/patent/US5569872A/en

The original implementation looked like this: https://reverb.com/item/32822914-replacement-ernie-ball-music-man-silent-circuit

You connected the black/red wires to ground/power (9V battery). The yellow wire defeated the circuit. And the blue and purple output either a signal in-phase or out-of-phase with the noise picked up by the coil inside of the device. You would connect one of those to the actual guitar circuitry such that the noise would be out-of-phase with the noice with the pickup picked up, hence, cancelling out out the noise. There is also an exposed trimmer on the top to dial up/down the noise signal.

My question: I see in the patent the basic circuit for amplifying the noise from the coil, and injecting it into the actual guitar pickup. But I can't tell from the patent how they implemented both inverting and a noninverting outputs. The device is really small, and I'm really just looking for some advice. I had experience with wiring up guitars, but this is a little out of my wheelhouse. Also, where would they include the pot that determines amt of amplification?

Any advice is appreciated. Thanks!