feat(api): expose board automation endpoints (#6213)

* feat(api): expose board automation endpoints

* style: auto-fix lint and format

* test(api): cover board settings updates

* Delete .opencode/changelog/2026-07-06.md

apps/docs/docs/management/api/index.mdx

@@ -70,4 +70,16 @@ API key authentication enables programmatic access for:
 - Automation scripts and CI/CD pipelines
 - Third-party integrations
 - Custom dashboards and monitoring tools
-- Container orchestration systems that need to sync app definitions
+- Container orchestration systems that need to sync app definitions
+
+## Board Automation
+
+The OpenAPI and MCP APIs include board management endpoints for common automation workflows:
+
+- Create, duplicate, rename and delete boards
+- Change board visibility
+- Update board visual and behavior settings
+- Set desktop and mobile home boards for the current user
+- Configure global board defaults such as public home boards and status behavior
+
+Use the interactive API reference to inspect the exact request body for each endpoint under the `boards` and `settings` tags.