Loose Trans axle output shaft (wobble)

Bought a 1997 GP GT last week. The right front has a drivetrain shimmy. I observe the right side axle shaft output coming out of the trans is leaking and has severe wobble that I can move it up and down. Is this a servicable bearing when the axle shaft is removed?

The axles do fit pretty sloppy and are by no means a tight fit. The inner cv shaft rides right inside the end of the differential so there is really no bearing or anything for support. There is a bushing in the end of the tail housing that bolts over the differential and this can wear over time also but likely isnt worn bad enough to cause problems. If the inner part of the shaft is worn where it goes into the trans it could cause a little extra slop but not very common to see. I would check over all of the suspension components good to make sure nothing is loose or badly worn. Check the rubber bushings in the lower control arms and also check the upper strut mount plate good as those are both common wear areas that will cause poor suspension alignment under load.

I compared the play to the other side and it is far worse. Can I jack the car up on one side and safely run the car up to 30 MPH with the other side tire on the ground to see if I can observe the play? Also, can this bushing be serviced from the outside with the shaft removed and housing still on trans?

Also, is there a simple way to tell if the trans is a 4T60 or 4T65? It is a 1997.

1997 GT is a 4T60E