If the droids can be in the chess scene, all the better. Maybe an alternate delivery of the famous line (from the radio drama or something) could end the interior portion with, “Let the Wookiee win.”
(Eh, maybe not.)
“He made a fair move, Chewbacca. If you fell for it, then that’s your fault!” might be a good Threepio line to include in there, as Chewie rages on (from the radio drama).