Apply discount to order using an API of a fidelization card

We have a client card for a Prestashop Store. We have an API to request what discount to apply to order depends on client type. API says the client type (there are 9 different) when client put the client card id on checkout step (like discount code box).

I thought we must have the 9 different type of discount coupon created on Prestashop like normal coupons, and Prestashop will
apply the coupon depends on API answer.

Please, see the attached documento to see all the details.