Use Microsoft.Windows.Settings module for enabling developer mode (#39334)

<!-- Enter a brief description/summary of your PR here. What does it
fix/what does it change/how was it tested (even manually, if necessary)?
-->
## Summary of the Pull Request

Using the
[Microsoft.Windows.Settings](https://www.powershellgallery.com/packages/Microsoft.Windows.Settings/)
module is the now the recommended way of configuring Windows Settings,
including developer mode.


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## PR Checklist

- [ ] **Closes:** #xxx
- [ ] **Communication:** I've discussed this with core contributors
already. If 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

Verified that setting developer mode with the new resource works as
intended

.config/configuration.vsEnterprise.winget

@@ -2,14 +2,14 @@
 # Reference: https://github.com/microsoft/PowerToys/blob/main/doc/devdocs/readme.md#compiling-powertoys
 properties:
   resources:
-    - resource: Microsoft.Windows.Developer/DeveloperMode
+    - resource: Microsoft.Windows.Settings/WindowsSettings
       directives:
         description: Enable Developer Mode
         allowPrerelease: true
         # Requires elevation for the set operation
         securityContext: elevated
       settings:
-        Ensure: Present
+        DeveloperMode: true
     - resource: Microsoft.WinGet.DSC/WinGetPackage
       id: vsPackage
       directives:

.config/configuration.vsProfessional.winget

@@ -2,14 +2,14 @@
 # Reference: https://github.com/microsoft/PowerToys/blob/main/doc/devdocs/readme.md#compiling-powertoys
 properties:
   resources:
-    - resource: Microsoft.Windows.Developer/DeveloperMode
+    - resource: Microsoft.Windows.Settings/WindowsSettings
       directives:
         description: Enable Developer Mode
         allowPrerelease: true
         # Requires elevation for the set operation
         securityContext: elevated
       settings:
-        Ensure: Present
+        DeveloperMode: true
     - resource: Microsoft.WinGet.DSC/WinGetPackage
       id: vsPackage
       directives:

.config/configuration.winget

@@ -2,14 +2,14 @@
 # Reference: https://github.com/microsoft/PowerToys/blob/main/doc/devdocs/readme.md#compiling-powertoys
 properties:
   resources:
-    - resource: Microsoft.Windows.Developer/DeveloperMode
+    - resource: Microsoft.Windows.Settings/WindowsSettings
       directives:
         description: Enable Developer Mode
         allowPrerelease: true
         # Requires elevation for the set operation
         securityContext: elevated
       settings:
-        Ensure: Present
+        DeveloperMode: true
     - resource: Microsoft.WinGet.DSC/WinGetPackage
       id: vsPackage
       directives: