On an agile project, a conflict arises about following organizational processes that seem to add no value. Which should be given the highest priority?

In agile, the customer's needs are paramount. The Agile Manifesto's first principle emphasizes "Our highest priority is to satisfy the customer through early and continuous delivery of valuable software." If organizational processes don't add value and impede satisfying the customer, they should be questioned and potentially adapted or eliminated. While organizational needs are important for long-term sustainability, they should not override the immediate value delivery to the customer, especially when processes are perceived as wasteful. The agile lead's and project manager's needs are secondary to both the customer and the organization; their roles are to facilitate value delivery.