DGS started school in September aged 4. He has always been completely ambidextrous, and whatever the foot equivalent is. We let him get on with it and mentioned it to School when he started. They watched him for half a term then did some testing and decided he is probably LH. The reason for testing is to stop him spending time working with both hands, which will take twice as long to develop the muscle memory in each one. We didn’t mind which he used, neither did they but it does seem that a drawing and writing preference is developing for using his left hand.
My sister, 60 years ago, never got on with school work after being taught to be right handed.
On the genius point, have you noticed how nearly every actor on film, stage or TV is a lefty?