Ghost PowerToys Run window when using Win+, while PowerToys Run is open

### Microsoft PowerToys version

0.100.2

### Installation method

Microsoft Store

### Area(s) with issue?

PowerToys Run

### Steps to reproduce

1. Open PowerToys Run
2. Press Win+, (Does not apply to Win+d)

### ✔️ Expected Behavior

PowerToys Run closes (like CmdPal)

### ❌ Actual Behavior

A ghost PowerToys run window stays open

https://github.com/user-attachments/assets/6104b167-cc9a-4e71-b624-9ac5be75d02b

### Upload Bug Report ZIP-file

_No response_

### Additional Information

_No response_

### Other Software

_No response_

Start by reproducing the issue in PowerToys Run with Win+, while the launcher is open, and compare the result with Win+d and CmdPal. Trace the close behavior for the PowerToys Run window and confirm that the ghost window no longer remains after the shortcut is pressed.

Written by the indexing model from the issue text.