CmdPal: Window Walker - detect UWP apps and prevent "Unresponsive" tag on them (#41938)

## Summary of the Pull Request

This PR introduces detection of UWP processes and skips evaluation of
the Process.Responding property for them.

The Process.Responding property is only reliable for Win32 apps. For UWP
processes, relying on this property can produce incorrect results. With
this change, UWP apps will no longer be flagged with an Unresponsive tag
due to misleading property values.

<!-- Please review the items on the PR checklist before submitting-->
## PR Checklist

- [x] Closes: #38353
- [ ] **Communication:** I've discussed this with core contributors
already. If the work hasn't been agreed, this work might be rejected
- [ ] **Tests:** Added/updated and all pass
- [ ] **Localization:** All end-user-facing strings can be localized
- [ ] **Dev docs:** Added/updated
- [ ] **New binaries:** Added on the required places
- [ ] [JSON for
signing](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ESRPSigning_core.json)
for new binaries
- [ ] [WXS for
installer](https://github.com/microsoft/PowerToys/blob/main/installer/PowerToysSetup/Product.wxs)
for new binaries and localization folder
- [ ] [YML for CI
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ci/templates/build-powertoys-steps.yml)
for new test projects
- [ ] [YML for signed
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/release.yml)
- [ ] **Documentation updated:** If checked, please file a pull request
on [our docs
repo](https://github.com/MicrosoftDocs/windows-uwp/tree/docs/hub/powertoys)
and link it here: #xxx

<!-- Provide a more detailed description of the PR, other things fixed,
or any additional comments/features here -->
## Detailed Description of the Pull Request / Additional comments

<!-- Describe how you validated the behavior. Add automated tests
wherever possible, but list manual validation steps taken as well -->
## Validation Steps Performed

src/modules/cmdpal/ext/Microsoft.CmdPal.Ext.WindowWalker/Components/WindowProcess.cs

@@ -23,7 +23,7 @@ internal sealed class WindowProcess
     /// <summary>
     /// An indicator if the window belongs to an 'Universal Windows Platform (UWP)' process
     /// </summary>
-    private readonly bool _isUwpApp;
+    private readonly bool _isUwpAppFrameHost;
 
     /// <summary>
     /// Gets the id of the process
@@ -42,7 +42,8 @@ internal sealed class WindowProcess
         {
             try
             {
-                return Process.GetProcessById((int)ProcessID).Responding;
+                // Process.Responding doesn't work on UWP apps
+                return ProcessType.Kind == ProcessPackagingKind.UwpApp || Process.GetProcessById((int)ProcessID).Responding;
             }
             catch (InvalidOperationException)
             {
@@ -76,7 +77,7 @@ internal sealed class WindowProcess
     /// <summary>
     /// Gets a value indicating whether the window belongs to an 'Universal Windows Platform (UWP)' process
     /// </summary>
-    internal bool IsUwpApp => _isUwpApp;
+    public bool IsUwpAppFrameHost => _isUwpAppFrameHost;
 
     /// <summary>
     /// Gets a value indicating whether this is the shell process or not
@@ -134,9 +135,12 @@ internal sealed class WindowProcess
     internal WindowProcess(uint pid, uint tid, string name)
     {
         UpdateProcessInfo(pid, tid, name);
-        _isUwpApp = string.Equals(Name, "ApplicationFrameHost.exe", StringComparison.OrdinalIgnoreCase);
+        ProcessType = ProcessPackagingInspector.Inspect((int)pid);
+        _isUwpAppFrameHost = string.Equals(Name, "ApplicationFrameHost.exe", StringComparison.OrdinalIgnoreCase);
     }
 
+    public ProcessPackagingInfo ProcessType { get; private set; }
+
     /// <summary>
     /// Updates the process information of the <see cref="WindowProcess"/> instance.
     /// </summary>