GraphQL Admin API: new APIs for Menus are now available in 2024-07
API

Effective June 18, 2024

As of version 2024-07 of the GraphQL Admin API, you can now read and modify Menus.

Menus:

You can now create new menus using menuCreate, modify existing menus using menuUpdate, and delete menus using menuDelete.
Menus can be queried using the new menu or menus queries.