In this situation, the project manager should communicate with the client about the third-party supplier's situation and request payment. This is because the agreement was that payment would be made after the organization receives payment from the client. By explaining the situation to the client, the project manager can potentially expedite the payment process and prevent the withdrawal of team members from the project, thereby minimizing project disruption. References: PMBOK Guide, 6th Edition, Section 12.1: Plan Procurement Management, and Section 12.3: Control Procurements.