Your manual is here:
https://www.ipdb.org/files/4023/Bally_1997_NBA_Fastbreak_Operations_Manual_Final_no_schematics.pdf
On PDF page 104 is the parts diagram for the pass-assembly (2 and 3).
The first thing I look for when a switch isn't working is to see if there is trash blocking the ball from resting on the switch!
So check to see that there isn't a screw, a piece of plastic, a fragment of a piece of rubber in the place where the ball rests.
The next thing I do is to go into switch edges test. I take a ball, and put it in the pass-assembly-2 ball area. It should make a noise, and the little box associated with switch 67 should light up, and stay on as long as the ball is resting on the switch.
If the switch doesn't register, lift the playfield, and look at the pass-assembly-2 assembly. There is a small black microswitch, and it has a wiring harness (two wires) coming off of it. I don't have a machine in front of me, but I believe that the wiring harness goes to a two-pin plug. Check to see that the wires are connected to the switch (not broken off), that the plug isn't unplugged, and that the wires all seem to be in good order.
Black microswitches fail. Not often, but often enough.
You could buy something like this:
https://www.pinballlife.com/microswitch-with-diode.html
The blade assembly pops off of the old switch and onto the new one.
You'll have to solder the wires to the new switch.
Let us know what you find!