Improve NuGet Dependency Version Validation via dotnet restore (#40646)

### NuGet Package Management Improvements:
* This pull request includes updates to improve NuGet package management
and dependency versions.

### Example problem of the new ps1 change, and fixed in this PR
Updated the version of `NLog` from `5.0.4` to `5.2.8`, with the error
message:
error NU1605:
Warning As Error: Detected package downgrade: NLog from 5.2.8 to 5.0.4.
Reference the package directly from the pr
      oject to select a different version.
Microsoft.PowerToys.Run.Plugin.History -> Wox.Plugin ->
NLog.Extensions.Logging 5.3.8 -> NLog (>= 5.2.8)
Microsoft.PowerToys.Run.Plugin.History -> Wox.Plugin -> NLog (>= 5.0.4)

.github/actions/spell-check/expect.txt

@@ -1118,6 +1118,7 @@ NOTSRCCOPY
 NOTSRCERASE
 notwindows
 NOTXORPEN
+nowarn
 NOZORDER
 NPH
 npmjs

.pipelines/verifyNugetPackages.ps1

@@ -21,4 +21,13 @@ if (-not $?)
     exit 1
 }
 
+# Ignore NU1503 on vcxproj files 
+dotnet restore $solution /nowarn:NU1503 
+if ($lastExitCode -ne 0)
+{
+    $result = $lastExitCode
+    Write-Error "Error running dotnet restore, with the exit code $lastExitCode. Please verify logs on the nuget package versions."
+    exit $result
+}
+
 exit 0

Directory.Packages.props

@@ -65,7 +65,8 @@
     <!-- Moq to stay below v4.20 due to behavior change. need to be sure fixed -->
     <PackageVersion Include="Moq" Version="4.18.4" />
     <PackageVersion Include="MSTest" Version="3.8.3" />
-    <PackageVersion Include="NLog" Version="5.0.4" />
+    <PackageVersion Include="Newtonsoft.Json" Version="13.0.3" />
+    <PackageVersion Include="NLog" Version="5.2.8" />
     <PackageVersion Include="NLog.Extensions.Logging" Version="5.3.8" />
     <PackageVersion Include="NLog.Schema" Version="5.2.8" />
     <PackageVersion Include="OpenAI" Version="2.0.0" />

NOTICE.md

@@ -1522,6 +1522,7 @@ SOFTWARE.
 - ModernWpfUI
 - Moq
 - MSTest
+- NLog
 - NLog.Extensions.Logging
 - NLog.Schema
 - OpenAI

src/modules/launcher/Wox.Plugin/Wox.Plugin.csproj

@@ -30,6 +30,7 @@
   </ItemGroup>
   
   <ItemGroup>
+    <PackageReference Include="NLog" />
     <PackageReference Include="NLog.Extensions.Logging" />
     <!-- HACK: Microsoft.Extensions.Hosting is referenced, even if it is not used, to force dll versions to be the same as in other projects. Really only needed since OneNote uses the LazyCache and NLog dependencies, which references older assemblies. -->
     <PackageReference Include="Microsoft.Extensions.Hosting" />