Fixed asset in centralized procurement for 2 BU in different ledger

We have two separate Business Units: BU X and BU Y. BU X is designated as the Requisitioning BU, responsible for generating requisitions. BU Y, on the other hand, is responsible for the Procurement, Invoice, and Payment processes. In a scenario where a PO is created by BU Y for a requisition initiated by BU X, and the asset is subsequently received by BU X but the invoice is directed to BU Y, which asset book (X or Y) should the asset be assigned to when performing a mass addition to the asset register?