The fourth pillar of Data Mesh, federated computational governance, is the hardest to implement as it must become easy to do the right thing and hard to do the wrong thing. Data governance is crucial for a successful data mesh implementation. Governance policies are written by governance people in prose, and often include texts from lawyers like the GDPR, privacy statements, license agreements, etc. We propose an approach using AI to implement federated computation governance by letting governance experts write policies in natural language, and AI to monitor their effectiveness against metadata. We show example use cases such as ensuring that fields are correctly marked as PII, coding guidelines are adhered to, and that when requesting access to data the purpose is verified. We present a partial implementation via the free self-hosted Community Edition of the Data Mesh Manager and OpenAI ChatGPT-4o. And we give an outlook on the future of data governance.