All FAA T/R's are conducted to ATP practical test standards, even if added to a PPL or CPL. If you go and add a jet, say, on a PPL, it won't automatically convert to an ATPL upon passing the written exam. You would have to do the full ATP check ride on your next recurrent training.
Next issue - will you get insurance on the new type with 'only' a PPL/IR? Which Citation? Is it multi-pilot certified?
You cannot be paid on a PPL as a pilot. Do you hold another ICAO CPL? Do a CPL check ride with the T/R. Suggest you contact the training centre manager or program manager.