Storefront API product variant shipping

Using the Storefront API, I want to get the custom shipping rates for a product variant.

I can’t seem to find any way to do this:

  • Have read all the docs I could find.

  • Spoke to customer support for multiple hours.

  • Experimented with the Graphiql app (but without knowing what I’m looking for, I don’t really know what to try)

In case I’m asking the wrong question… My goal is to show a different flat rate shipping & handling fee for each product variant.

How can I query the Storefront api to get the shipping rate for a product variant?