Gaming chairs have a height and weight capacity like any other chair.
Most of them can only support up to 250 lbs while some can handle weights of up to 400 lbs. Similarly, some chairs are smaller and can only accommodate heights up to 5’5” while some have high backrests that can support over 6’ in height.
Choose a gaming chair that can at least support 20 lbs more than your current weight. And since it’s unlikely you’ll shoot up another foot anytime soon, just go with a chair that’s close to your height or a little slightly above.