The diagram will not work for coil tap. This diagram shorts the unused coil out.
What you need is to take one hot wire to each of the outside connections of the push/pull and take a wire from the center to the 3 way for each pickup.
Like this:
Bridge pu Switch neck pu
hot L1 R1 hot
to 3 way L2 R2 to 3 way
tap L3 R3 tap
Put the hot wire nearest the pot, with the tap furthest away, this should give full output with the put down.