[CmdPal][UT] Refactor some cmdpal ext's ut and improve the test case (#40896)

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## Summary of the Pull Request
1. Remove some AI generated nonsense case
2. Add ISettingsInterface for those ext for testing purpose.
3. Add query test.

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## PR Checklist

- [x] Closes: #40897
- [x] **Communication:** I've discussed this with core contributors
already. If the work hasn't been agreed, this work might be rejected
- [x] **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

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---------

Co-authored-by: Yu Leng <yuleng@microsoft.com>

src/modules/cmdpal/ext/Microsoft.CmdPal.Ext.Calc/CalculatorCommandProvider.cs

@@ -12,21 +12,21 @@ namespace Microsoft.CmdPal.Ext.Calc;
 
 public partial class CalculatorCommandProvider : CommandProvider
 {
+    private static ISettingsInterface settings = new SettingsManager();
     private readonly ListItem _listItem = new(new CalculatorListPage(settings))
     {
         Subtitle = Resources.calculator_top_level_subtitle,
-        MoreCommands = [new CommandContextItem(settings.Settings.SettingsPage)],
+        MoreCommands = [new CommandContextItem(((SettingsManager)settings).Settings.SettingsPage)],
     };
 
     private readonly FallbackCalculatorItem _fallback = new(settings);
-    private static SettingsManager settings = new();
 
     public CalculatorCommandProvider()
     {
         Id = "Calculator";
         DisplayName = Resources.calculator_display_name;
         Icon = Icons.CalculatorIcon;
-        Settings = settings.Settings;
+        Settings = ((SettingsManager)settings).Settings;
     }
 
     public override ICommandItem[] TopLevelCommands() => [_listItem];