Remove Customer Site Address Purposes via API

Summary:

I would like to remove an Address Purpose from a Customer Site via the WebService API

Content (please ensure you mask any confidential information):

I can pull the Customer information via a WebService using the documentation here:

I can also pull the Customer Site information via a WebService using the documentation here:

However, what I can't seem to find is the proper WebService to get/update/delete/create the Address Purposes. I have seen articles that suggest removing the sites and reloading them in bulk, but that isn't what I want. I need to do these changes via API, as we have other business logic included in this same process.