Created attachment 465794 [details]
The zip file has the recordings when trying to "Share the Screen" and "Share the Window"

Steps:
1. Go to https://webrtc.github.io/samples/src/content/getusermedia/getdisplaymedia/
2. Click on "Start"
3. Click on "Allow to Share Screen" and wait.
Observations: The dialog "Share this Screen" doesn't appear, even if we wait for more than 30s and hover the mouse on the screen.
4. Refresh the page and Click on "Start"
5. Clicking on "Allow to Share Window" 
Observations: Dialog is appearing immediately and will start sharing the window once the dialog is clicked.

Additional Observation: In the non working case, there is no error returned by getDisplayMedia API as well, it neither rejects nor resolves but is just stuck. This is blocking users to Share the Screen on Safari on Ventura. 

Please let us know if there is a work around we can try to solve this or handle the scenario better on the application side.

Reproducibility rate: Issue is intermittent and frequency is high on few system(real system) and on few system(Ventura browser stack VM) issue is 100% reproducible.

Attaching the videos of the M1 Mac Machine (Ventura 13.2.1, Safari 16.3)
Allow to Share Window.mp4
Allow to Share Screen.mp4