CmdPal: Add error handling to extension disposal (#40825)

## Summary of the Pull Request

Ensure that errors encountered while sending the extension disposal
signal are handled gracefully. If an error occurs when disposing of a
particular extension, continue signaling the remaining extensions rather
than halting the entire process. This prevents a single failure from
interrupting the disposal chain and improves overall robustness.

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## PR Checklist

- [ ] Closes: #xxx
- [ ] **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

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## Detailed Description of the Pull Request / Additional comments

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## Validation Steps Performed

src/modules/cmdpal/Microsoft.CmdPal.UI.ViewModels/Models/ExtensionService.cs

@@ -2,6 +2,7 @@
 // The Microsoft Corporation licenses this file to you under the MIT license.
 // See the LICENSE file in the project root for more information.
 
+using ManagedCommon;
 using Microsoft.CmdPal.Common.Services;
 using Microsoft.CommandPalette.Extensions;
 using Windows.ApplicationModel;
@@ -287,9 +288,17 @@ public partial class ExtensionService : IExtensionService, IDisposable
         var installedExtensions = await GetInstalledExtensionsAsync();
         foreach (var installedExtension in installedExtensions)
         {
-            if (installedExtension.IsRunning())
+            Logger.LogDebug($"Signaling dispose to {installedExtension.ExtensionUniqueId}");
+            try
             {
-                installedExtension.SignalDispose();
+                if (installedExtension.IsRunning())
+                {
+                    installedExtension.SignalDispose();
+                }
+            }
+            catch (Exception ex)
+            {
+                Logger.LogError($"Failed to send dispose signal to extension {installedExtension.ExtensionUniqueId}", ex);
             }
         }
     }