Keyboard shortcuts under Programs still show up after being deleted from Keyboard Manager

### Microsoft PowerToys version

v0.100.2

### Installation method

PowerToys auto-update

### Area(s) with issue?

Keyboard Manager

### Steps to reproduce

add a key bind to a program and save it. then delete it. Close keyboard manager. Reopen it.

### ✔️ Expected Behavior

deleted key binds/shortcuts should not reappear and be forever deleted

### ❌ Actual Behavior

once deleted and keyboard manager is reopened, the deleted keyboard shortcuts reappear

### Upload Bug Report ZIP-file

_No response_

### Additional Information

Windows 11, running as elevated

### Other Software

_No response_

Start in Keyboard Manager by reproducing the issue on Windows 11: create a program-specific key binding, delete it, close Keyboard Manager, and reopen it. Trace how deleted shortcuts are persisted and reloaded; done means deleted bindings remain absent after reopening.

Written by the indexing model from the issue text.