Deleted Control Scheme remains visible as selected until the Input Actions Editor is refreshed

Steps to reproduce:

1. Create a new URP project
2. Go to Assets > Create > Input Actions
3. Open the created .inputactions
4. Click on the "No Control Schemes" dropdown
5. Select "Add Control Scheme..."
6. In the Scheme Name type in "test" (or any other name)
7. Click again on the "test" dropdown and select "Delete Control Scheme"
8. Observe the dropdown after deletion

Actual results: The deleted Control Scheme name still appears in the dropdown instead of the default No Control Schemes label

Expected results: After deleting the only Control Scheme, the dropdown should immediately update and display No Control Schemes

Reproducible with versions: 1.14.0, 1.19.0 (6000.3.15f1, 6000.4.6f1, 6000.5.0b7, 6000.6.0a4)

Tested on (OS): Windows 11

Notes:

• Reopening Input Actions Editor clears the dropdown
• If the Control Scheme is created, saved, then deleted, saving again refreshes the dropdown
• If the Control Scheme is created and deleted before saving, pressing Ctrl+S does not refresh the stale dropdown