Model is 200mm in diameter so it can be printed in one piece on most printers.  Both balls will print in place with small platforms that allow them to easily be snapped lose once the print is complete.

Edit: I finished a quick print (0.20mm SPEED) of the chase to ensure it prints correctly and the balls snap lose cleanly…and it all works nicely!   I added a few more images of the print during and finished for reference.