Player .exe remains open as a background task after closing it when Active Input Handling is set to "Input System Package (New)"

Reproduction steps:
1. Open the attached “BackgroundProcessBug.zip” project
2. Build and Run the project (File > Build and Run)
3. Open the Task Manager
4. Observe the "BackgroundProcessBug.exe" Player process
5. Close the Player via the “X” button in the Window or Alt+F4
6. Observe the same "BackgroundProcessBug.exe" process in the Task Manager

Expected result: "BackgroundProcessBug.exe" is not visible in the Task Manager
Actual result: "BackgroundProcessBug.exe" is still visible in the Task Manager and is not fully closed

Reproducible with: 2023.2.0a10, 6000.0.31f1, 6000.1.0a7
Not reproducible with: 2021.3.47f1, 2022.3.54f1, 2023.2.0a9

Reproducible on: Windows 11 Pro (24H2)
Not reproducible on: Windows 10 Pro (22H2)

Notes:

• Switching to “Input Manager (Old)” makes the issue not reproduce anymore, but both “Input System Package (New)“ and “Both“ are affected
• Reproduces on a new project by just switching the Active Input Handling
• Reproduces both with the Input System package installed and without it