How can I assign a PriceList to a Company via GraphQL API?

We are building our new B2B store in Shopify, and we need to bring in pricing and company data from our ERP.
We have some specific price overrides on each of our companies, so PriceLists seem perfect for what we need to do. We just need to link the prices to each company.

I can create PriceLists via the API, and I can create Company objects through the API, but I can’t find a way to assign the PriceList to the Company via the API.

The Admin UI allows this, can anyone provide some direction on how to do this via the API?