Since the guitar is tele style there is yet another spiffy trick (maybe not so useful this time but anyway, I have done it twice and liked it, the other instrument was a bass guitar and the other was two pickup gtr)
I found the circuit in Graig Anderton´s famous book Electronic Projects for Musicians. There is that nice circuit for two pickup guitars. If you replace the stock tele three-way pickup switch with similar size modern strat five way one, and add one mini dpdt switch, you can have three positions like before (neck, bridge and both parallel) plus pickups in series and fifth position perhaps one pickup with bigger or smaller tone cap.
If that mini switch changes the polarity of the other pickup, you can get two thin sounding bass options when pickups are together out of phase, series or parallel. You only need to connect the pickups metal cover slightly other directly to ground so it does not get "hot" in out of phase position