Joking, but if we had to connect VNY and MDZ and BRC in one duty day, we wouldn’t use a Sovereign, but a Global. Seriously, I’m guessing LRD and GYE are fuel stops and pax requirements because I would have dropped the LRD and GYE, if the Sovereign can make 2,600 nm and just stop at PTY. So the crew change would be in GYE. That’s the only reasonable way to break up the duty periods. It’s 13+ in a Sovereign, but 11-ish in a Global or Gulfstream. With pre-flight and pax and customs, just doable in a 14-hour duty.
GF