Hi Risman,
The Storefront API is typically not used for anything related to checkout. If you’re looking to add custom fields to the shipping address form on the checkout page, I would recommend looking into either Checkout UI extensions which allow you to add custom UI or content to the checkout process and order status page. Another option might be to see if you can achieve your use case with Shopify Functions as these allow you to extend or replace key parts of Shopify’s backend with custom logic.
Hope this helps!