How to get the total shipping cost including shipping handling in cart - PrestaShop Web Service

Question

I am struggling to get the shipping cost of a carrier while products are in a cart in the Prestashop web service. I've looked at /carts, /carriers, and etc but it doesn't seem to have any fields relating to it's shipping cost.

I am developing an API in lumen to be used in a mobile app, so I can't edit the prestashop files to retrieve it.

Please help me if you have any information regarding this. Any help is very much appreciated.