I was going to earlier answer … learn how to land in your heel. Keeps your leg steady and your seat off the horse for one pickup stride. Vastly improves the horse’s ability to do their job with proper form. Practice over small cross poles.
And any instructor worth their salt would be using gymnastics, esp with beginners. Learn straightness, forward, balance, striding and form all at the same time. There’s a rhythm and a chute sets you up for success.