As I said, the pressure of air in the tyre won't change, even if you do add extra weight to the car.
If you think about it, you put a given amount of air into a tyre, when you apply a load to that tyre, it will deform, but even tho' the shape of the tyre has changed, its volume will remain the same. This means that there is still the same quantity of air in the tyre which is still the same size as before, therefore the air/volume ratio, i.e. pressure has to still be the same.