I don't think that damage will hurt anything, but sorry it happened..
I cannot post a picture as I know cars more than computers, but it seems totally obvious to me that near the arrow behind the front wheels there is a ridge of painted pressed unit steel that I've used countless times to rotate tires etc.. I can raise the entire side of the Jeep off the ground for front and rear wheel removal at once. I don't use any special jack that would fit the hole but I do use a puck
on that ridge. The ridge runs the whole length of the body between the wheel wells....
I agree a jack on that black brace is a stupid move.
But never get under a car without jack stands in place and a back-up. Peace.