SHOoP DPDT toggle for regular 2-pickup 3-way wiring

[bpf8hz]

hello world

Just wanted to ask a quick question: how would one go about adding a SHOoP switch for a regular 2-pickup wiring? I have a diagram that I've used on one of my guitars:

SPOILER: Click to show

It acts the following way:

Switch off/Position 1: bridge

Switch off/Position 2: neck+bridge parallel

Switch off/Position 3: neck

Switch on/Position 1: neck&bridge series

Switch on/Position 2: neck&bridge series

Switch on/Position 3: neck&bridge series

So that DPDT works kinda like a master "regular vs. series" switch.

How could this wiring be modified so that series mode would actually become series half-out-of-phase (SHOoP)? I can't see any obvious way to put in a cap somewhere on the DPDT and make things work as expected.