I don’t believe the pickup is active in any way, it’s just wired up to an active preamp. The pickup probably has four wires, two going to each coil in the pickup. You have a few options.
1. Volume, balance, tone, which would use the balance control to select the coils in the pickup, and you would probably get hum if you solo either coil.
2. Volume, volume, tone, which is much like Jazz wiring, and would likely come with hum if you don’t have both volumes wide open, just like a Jazz.
3. Volume, tone, which would be like Pbass wiring with the two coils in the pickup permanently wired in series or parallel, or you could put a series / parallel switch in the 3rd hole.
4. Volume, tone pot, rotary cap selector with the volume or tone pot also being a push-pull switch to select series or parallel wiring of the two coils in the pickup.
The simplest is #3, which would require a couple 250k pots and probably a DPST rotary switch to change the pickup wiring between series & parallel wiring, bridge coil, & neck coil, but you would still get hum with either coil solo’d.