I would say the sportsmanlike thing to do is play on until you or your opponent concedes. If your opponent wants to end, and you do not, your opponent is free to concede. If your opponent offers a draw, and you refuse to accept, as in chess, your opponent has the choice of playing on or conceding.
That said, some people aren’t good sportsmen/women. You gotta work with what you got. If you think it’s best to smooth things over and do as your buddy says, I’d say you’re the one on the scene, the one with the knowledge to make the appropriate decision.
Go get 'em tiger! :lol: