Radix Dialog stacking styling

[dimitur2204]

Hey,
I currently have a Radix Dialog based modal. My current setup is having the modal portaled to the body and with a fixed z-index for the overlay and the modal.
However that becomes a problem when I have two. The second one stacks on top of the first one, but that leaves two overlays below (check the screenshot).

I found an example in Base UI, which seems to be very closely related to how Radix works, that has nested dialogs, but I don't see anything specific in the structure or CSS to indicate support, so I assume it is somehow internally handled (https://base-ui.com/react/components/dialog#nested-dialogs)?

Has anyone done that kind of support with the Radix Dialog?