Can't Change AI Permissions when running locally – 404 Not Found on API Request

# Bug report - [x ] I confirm this is a bug with Supabase, not with my own application. - [ x] I confirm I have searched the [Docs](https://docs.supabase.com), GitHub [Discussions](https://github.com/supabase/supabase/discussions), and [Discord](https://discord.supabase.com). ## Describe the bug While working on a Supabase project in local development mode, I'm unable to change the AI permissions level (to allow it to read my schema, for example). Attempting to toggle any AI access or permission results in a 404 Not Found error on the related API call. This behavior makes it unclear whether AI features are unsupported locally or if there's a misconfiguration. ## To Reproduce 1. Run the project locally using supabase start, with a valid Open AI key configured 2. Open Supabase Studio at http://localhost:54321 3. Navigate to the AI tab. Observe that chatting with the AI works fine. 4. Attempt to modify any AI-related permission using the gear icon in the chat panel 5. Observe a 404 Not Found error in the network tab, and your AI permissions do not change This means I can't allow the AI access to my schema or data for local development. ## Expected behavior AI permissions should be editable in local development, or the UI should clearly indicate if this feature is not supported. ## Screenshots <img width="1830" height="1187" alt="Image" src="https://github.com/user-attachments/assets/b3bb804e-bc57-4e30-81d3-b3ea2456c96f" /> ## System information - OS: macOS - Browser (if applies) Arc browser - Version of supabase-cli: 2.48.3 ## Additional context I basically have recreated #37658 because that one was closed without resolution, and is the exact error I'm encountering.