Cannot replace powershell in Win+X menu

### Intelligent Terminal version

0.1.1531.0

### Windows build number

10.0.26300.0

### Other Software

_No response_

### Steps to reproduce

1. Open setting in intelligent-terminal
2. Start-UP--Default terminal program--intelligent-terminal cannot be setting

### Expected Behavior

replace powershell in win+x

### Actual Behavior

cannot replace powershell in win+x

Start by reproducing the issue through Intelligent Terminal settings at Start-Up → Default terminal program, then verify the Win+X menu behavior on the reported Windows build. Investigate the integration that controls the default terminal selection; done means Intelligent Terminal can be selected and replaces PowerShell in Win+X.

Written by the indexing model from the issue text.