[DSC]Use registry instead of WMI to improve detection performance(#32382)

src/dsc/PowerToys.Settings.DSC.Schema.Generator/DSCGeneration.cs

@@ -6,7 +6,6 @@ using System;
 using System.Collections.Generic;
 using System.Globalization;
 using System.Linq;
-using System.Text.RegularExpressions;
 using static PowerToys.Settings.DSC.Schema.Introspection;
 
 namespace PowerToys.Settings.DSC.Schema;
@@ -254,7 +253,12 @@ class {{module.Name}} {
                 if ($this.Debug -eq $true) {
                     $SettingsExePath = "{{debugSettingsPath}}"
                 } else {
-                    $installation = Get-CimInstance Win32_Product | Where-Object {$_.Name -eq "PowerToys (Preview)" -and $_.Version -eq "{{version}}"}
+                    $installation = Get-ChildItem HKLM:\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\* | ForEach-Object { Get-ItemProperty $_.PsPath } | Where-Object { $_.DisplayName -eq "PowerToys (Preview)" -and $_.DisplayVersion -eq "{{version}}" }
+        
+                    if (-not $installation)
+                    {
+                        $installation = Get-ChildItem HKCU:\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\* | ForEach-Object { Get-ItemProperty $_.PsPath } | Where-Object { $_.DisplayName -eq "PowerToys (Preview)" -and $_.DisplayVersion -eq "{{version}}" }
+                    }
                 
                     if ($installation) {
                         $SettingsExePath = Join-Path (Join-Path $installation.InstallLocation WinUI3Apps) PowerToys.Settings.exe
@@ -271,7 +275,12 @@ class {{module.Name}} {
 #else
         outputResult += $$"""
             [string] GetPowerToysSettingsPath() {
-                $installation = Get-CimInstance Win32_Product | Where-Object {$_.Name -eq "PowerToys (Preview)" -and $_.Version -eq "{{version}}"}
+                $installation = Get-ChildItem HKLM:\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\* | ForEach-Object { Get-ItemProperty $_.PsPath } | Where-Object { $_.DisplayName -eq "PowerToys (Preview)" -and $_.DisplayVersion -eq "{{version}}" }
+
+                if (-not $installation)
+                {
+                    $installation = Get-ChildItem HKCU:\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\* | ForEach-Object { Get-ItemProperty $_.PsPath } | Where-Object { $_.DisplayName -eq "PowerToys (Preview)" -and $_.DisplayVersion -eq "{{version}}" }
+                }
 
                 if ($installation) {
                     $SettingsExePath = Join-Path (Join-Path $installation.InstallLocation WinUI3Apps) PowerToys.Settings.exe