Is there an API which can replicate billing document data from S/4HC to C4C via CPI?

Hi SD Billing experts,

*This is a follow-up question for this Community question: Are there APIs for replicating Sales Contract & Sales Quote?

Would you please provide some hints for the customer's latest question about "how to replicate billing document data from S/4HC to C4C via CPI"? Currently there seems no such an API similar to "Sales Order - Replicate (A2A)" according to the API Business Hub. The customer would like to know if there are any workarounds.

Thanks & Regards,
Sophia