From a little research it seems that only the comp g cars got the tapshift, but that may not me 100% true.

The base model GT1 and fancier GT2 have the Series III 3800 V6 engine, putting out 200 hp (150 kW) and 230 ft·lbf (310 Nm) of torque, while both GTPs have the supercharged (Eaton Gen 5 Supercharger) 3800 Series III V6 engine with 260 hp (195 kW) and 280 ft·lbf (380 Nm) of torque.

A Competition Group (Comp-G) package was available for the GTP that included red painted brake calipers (same brakes as the 'standard' GTP), sport tuned suspension, heads-up display (also in GT2 model), 4-speed automatic transmission with paddle-style TAPShift, StabiliTrak dynamic control system, 3.29 axle ratio, performance tires and Magnasteer II. Also, a 10-spoke light weight wheel was standard with the Comp-G package but could be 'upgraded' to the GTP optional wheel.
So it would seems that you will likely need to find another trans came from a comp g/tapshift?