Customize Shopify Checkout With Dynamic Delivery Points

When a customer enters their shipping address during checkout, we need to retrieve the provided zip code in order to calculate the distance from the shipping point.
Subsequently, I would like to mentioned the calculated distance into each available shipping method title.

Here is an example from a similar application: https://prnt.sc/VF3Rc0TKpkfh

App Link: https://apps.shopify.com/paczkomaty-inpost?locale=it

And this app works for shopify basic plan as well. So could you please guide me by which api i can achieve this feature on my shopify store (basic plan) .

Thanks

I am also facing the same problem. Were you able to find any solution to that problem? Please share it with me as well.