Fix default browser detection for Windows 11 24H2 by checking UserChoiceLatest\ProgId registry key (#40115)

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fix/what does it change/how was it tested (even manually, if necessary)?
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## Summary of the Pull Request
This actually fixes an issue with #39794. What I failed to mention in
the original issue was the additional path under the registry that the
new key is located under. Instead of the key being stored directly in
`UserChoiceLatest` in a key named `ProgId`, the path also includes a
second `ProgId` as well.

Copilot tried to fix this issue in #40035, but because I had failed to
mention the additional `ProgId` in the path, it was not included in
Copilot's fix.

Therefore, the true new path is 
`.../UserChoiceLatest/ProgId`



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## PR Checklist

- [x] **Closes:** #39794
- [ ] **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

![image](https://github.com/user-attachments/assets/25aeb494-c323-4db4-8897-cdc52bcade52)

<!-- 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.WebSearch/Helpers/DefaultBrowserInfo.cs

@@ -79,7 +79,7 @@ public static class DefaultBrowserInfo
             try
             {
                 var progId = GetRegistryValue(
-                    @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoiceLatest",
+                    @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoiceLatest\ProgId",
                     "ProgId")
                     ?? GetRegistryValue(
                         @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoice",

src/modules/launcher/Wox.Plugin/Common/DefaultBrowserInfo.cs

@@ -80,7 +80,7 @@ namespace Wox.Plugin.Common
                 try
                 {
                     string progId = GetRegistryValue(
-                        @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoiceLatest",
+                        @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoiceLatest\ProgId",
                         "ProgId")
                         ?? GetRegistryValue(
                             @"HKEY_CURRENT_USER\Software\Microsoft\Windows\Shell\Associations\UrlAssociations\http\UserChoice",