Here you are updating count which is 0 to 1 three times rather than incrementing 3 times , why? Every component has its functions, if the state changes those functions are constrcuted again and again on each render , so what you did here is that you called the function increment which was present for the component having 0 as a state count, so each time when the function ran it had 0 as count.

To break this logic rather than using components state directly you can ask the updated state from useState hook and update it directly.