How to achieve nested Slide in MUI

I want to achieve nested slide components with Slide from MUI. Is it possible to have two Slide component inside another, but second one should slide in from the parent Slide component inside of edge of the screen?

I have created a demo in the below sandbox.

https://codesandbox.io/s/misty-dream-f6vcsk?file=/src/App.tsx

As you can see, the second, nested Slide comes from the edge of the screen instead of the parent Slide.

I have checked out this question and added overflow: "hidden". However, it still doesn’t work.