Vacuum kickdown solenoid setup?

I discovered that there is a vacuum kickdown solenoid that appears to be wired up so I am wondering firstly where I should run the vac line to it. Trans is an a500 overdrive, engine is a 360 la, and the carb is a Carter 625 cfm.
Heres a pic of the switch

IMG_20240819_091340772.jpg

I don't know for sure if it's hooked up properly either this was already on the car.