Editor freezes when stopping the project from full screen editor

### Tested versions

v4.6.dev4.official [bd2ca13c6]

### System information

w11

### Issue description

1. Set the editor to full screen (Shift + F11).
2. Run the project.
3. Stop the project using the **Stop** button (not by closing the game window).
4. The editor becomes frozen/unresponsive.
5. It can be unfrozen as shown in the video.

https://youtu.be/PnDyqIY8Tho

### Steps to reproduce

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### Minimal reproduction project (MRP)

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Start by reproducing the freeze in Godot v4.6.dev4 on Windows 11 using the listed full-screen, run, and Stop-button steps. Trace the editor's project-stop and full-screen handling to identify the cause; done means the editor remains responsive after stopping the project in full screen.

Written by the indexing model from the issue text.