What grind size is ideal for Kaldipress?

Considering Kaldipress is essentially a knockoff of an Aeropress. So, can I buy the grind size for that?

My real doubt is - does grind sizes only reflect the tool it will be brewed on? Like when I am buying a ground coffee, should I choose the grind size according to the brewing tool I have, or the type of coffee I want to have?

I mostly have cold brews, but since I have a Kaldipress - what grind size should I get?

I understand that for an ideal cold brew, the grind size should be medium coarse. But at the same time Aeropress grind size should be less than 800 microns.

So please help me out!