How to implement a Combobox with a Grid/Tree popup instead of Listbox?

[ploca14]

The default implementation of Headless UI's combobox supports only a listbox popup.
Is it possible to implement a combobox that uses a grid as the popup?
Here is a great example from W3C: https://www.w3.org/WAI/ARIA/apg/patterns/combobox/examples/grid-combo/
According to W3C a combobox with a tree popup is also valid: https://www.w3.org/WAI/ARIA/apg/patterns/combobox/

How can I use Headless UI to implement these two types?