Multiple Billing Accounts in One Corporate Card File, Separate Company Pay Invoices

We are receiving a single VCF4 file for our UK Corporate Card Program, which has a single Company Account Number, Card Issuer Number and Processor-Assigned Number in the Block Header of the file.

However, within this file there are multiple UK entities, each with their own overarching 16 digit billing account and hierarchy value. Our client is using a Company Pay setup, and would like to pay each of these billing accounts in a separate invoice to the Card Provider. To my understanding, the only way to do this (i.e. have different Payee, Site, and Terms) would to be to setup a single Corporate Card Program, with multiple Company Accounts.