Example of nested menu with levels 3 and above

[shota-f]

The nested menu at level 2 in the https://zagjs.com/components/react/nested-menu work as expected, but I would like to see some code examples for deeper nesting levels.
In particular, I don't understand menu.setChild and menu.setParent, so I simply tried executing level_2_Menu.setChild(level_3_Machine) and level_3_Menu.setParent(level_2_Machine) in the same place(in setTimeout), but navigating from level 2 to level 3 using the keyboard doesn't work.

💥 Steps to reproduce

1. Go to https://zagjs.com/components/react/nested-menu
2. Copy the code
3. Add level-3 code
4. Use keyboard navigation

💻 Link to reproduction

CodeSandbox reproduction: https://codesandbox.io/p/sandbox/p72ftj

🧐 Expected behavior

🧭 Possible Solution

🌍 System information

Software	Version(s)
Zag Version	0.77.1
Browser	chrome
Operating System	Mac

📝 Additional information