Am I playing enough with my kitten?

So me and my partner adopted a little orange boy (3 months old) a week ago that has tons of energy. Also he's the first cat we ever had in our lives so we are trying to figure him out.

I play with him for about 1 hour every morning, split in 2 30 min sessions, and my partner plays with him when she gets off work in the afternoon, for about the same time as I do. We also play pretty hard, to the point that he does not longer try to chase the toy.

The problem is that after we feed him his meal once we finish playing, he gets a sudden burst of energy and wants to play again. Eventually, after ignorim him for a while, he settles down and starts grooming and resting, but I don't know if he is really tired or just bored.

I know that getting another kitten would be best but right now that's just not possible. So my question is, are those after meals zoomies normal? Or do we have to play longer and more intense sessions?

Thanks!