I saw a painting on an ancient Greek vase showing two heroes of the Trojan war playing “draughts”.
It looked like checkers to me.
Yes, there is an Athenian vase from about 530 B.C. showing Achilles and Aias (Ajax) playing a game. Achilles is saying “four” and Aias is saying “three.” Conveniently the vase painter wrote their names and what they were saying on the vase.