Control Scheme name does not get updated in the Project Settings window and throws a “InvalidOperationException” error when the Control Scheme name was changed in the Input Actions Editor and then renamed in the Project Settings

Steps to reproduce:

1. Create a new Unity project using the Universal 3D template
2. Open the Project Settings window (Edit > Project Settings)
3. Open the Input System Package tab in the Project Settings window
4. Double click the "InputSystem_Actions" Input Action Asset to open the Input Actions Editor
5. Add a new Control Scheme in the Input Actions Editor with the default name
6. Press the "Save Asset" button in the Input Actions Editor
7. Switch to the New Control Scheme in the Project Settings window
8. Rename the New Control Scheme in the Input Actions Editor to "asd"
9. Repeat step 6
10. Rename the "asd" Control Scheme in the Project Settings window to any name
11. Observe the Project Settings window and the Console window

Actual results: The "asd" Control Scheme does not get renamed and "InvalidOperationException: Tried to update a non-existent control scheme." error is thrown

Expected results: The "asd" Control Scheme gets renamed and no errors are thrown

Reproducible with versions: 1.13.1 (6000.1.0b10), 1.14.0 (6000.1.16f1), 1.14.2 (6000.0.57f1, 6000.1.16f1, 6000.2.4f1, 6000.3.0b1)

Tested on (OS): macOS SIlicon Sequoia 15.6.1