[NETE2ESDK][ARM64][LLM] X64 sdk can't be uninstalled on ARM64.

### Describe the bug.

X64 sdk can't be uninstalled on ARM64 even set System Environment Variables.

### Please attach log file(s) here if you have any.

[Log.zip](https://github.com/user-attachments/files/28691836/20260608T023419.zip)

### Reproduction Steps

1. Clean ARM64 machine and install latest VSCode
2. Login VSCode with your GitHub Account to enable usage of CoPilot
3. Install 10.0.204 x64 sdk by using the system level installer
4. Set x64 install path in System Environment Variables
5. Ask the agent in the chat window to uninstall .NET SDK 10.0.204

### Expected Behavior

10.0.204 x64 sdk can be uninstalled successfully

### Exceptions & Errors (if any)

10.0.204 x64 sdk can't be uninstalled

### .NET Install Tool Version

3.1.0

### Your operating system? Please provide more detail, such as the version and or distro above.

Windows ARM64

### VS Code Version

1.123.0