Most enterprises have all three pieces. A process automation layer. A data integration strategy. An AI initiative. Yet critical decisions still fail, agents still hallucinate, and workflows still run on yesterday's data. The investments exist. The convergence does not. The problem is not a lack of technology, but a lack of architectural thinking. Process intelligence, event-driven integration, and trusted agentic AI are being built in isolation, by different teams, with different goals, on different timelines. The result is an architecture that looks complete on a slide and breaks in production. This post argues that these three capabilities form a Trinity. They only deliver their full value when they are designed to work together.