In the next version, the Ariakit Combobox will support a modal mode:
<ComboboxPopover modal>
Users will have the ability to interact with and tab through all combobox controls. This includes the combobox input, as well as the clear and disclosure buttons that are rendered outside the popover.
The rest of the page will be inert.
This is useful when you want to prevent accidentally closing the combobox popover by hitting Tab.