I haven't stress tested an M1 yet, but you can try this. With nothing else running. Load up the CPU with YES outputting to /dev/null. This should bring CPU usage to 100%. Then open several games of chess, make it CPU vs CPU and make them full screen. See if you experience the same issue.

$yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null & yes > /dev/null &