I think that the Machine Mart mini lathe is made by Sieg, so Arc should be able to supply parts to fit.
Possibly a red herring.
If you feel the need to modify the register on the new 4 Jaw independent, you could try this. No doubt someone will ,object!
It assumes that the tappings for the retaining studs coincide with the holes in the flange on the Mandrel, and that the register needs to be enlarged..
Clamp a piece of bar in the 3 jaw chuck, and take a light skim, to just clean it up (i.e. the OD will, be truly concentric )
Clamp the 4 jaw to the turned bar, with the jaws toward those of the 3 Jaw..
using a DTI, adjust the jaws to set the body so that it runs true, within whatever limit you see fit to accept.
Machine the register to the size that you require yo be a good fit on the flange.
H T H
Howard