Update dependencies from https://dev.azure.com/dnceng/internal/_git/dotnet-wpf-int build 20251123.1 (#11278)

On relative base path root
Microsoft.DotNet.Wpf.DncEng From Version 10.0.0-rc.1.25569.4 -> To Version 10.0.0-rc.1.25573.1

Co-authored-by: dotnet-maestro[bot] <dotnet-maestro[bot]@users.noreply.github.com>

Author: dotnet-maestro[bot]

eng/Version.Details.props

@@ -33,7 +33,7 @@ This file should be imported by eng/Versions.props
     <SystemSecurityPermissionsPackageVersion>10.0.0-rc.3.25574.108</SystemSecurityPermissionsPackageVersion>
     <SystemWindowsExtensionsPackageVersion>10.0.0-rc.3.25574.108</SystemWindowsExtensionsPackageVersion>
     <!-- _git/dotnet-wpf-int dependencies -->
-    <MicrosoftDotNetWpfDncEngPackageVersion>10.0.0-rc.1.25569.4</MicrosoftDotNetWpfDncEngPackageVersion>
+    <MicrosoftDotNetWpfDncEngPackageVersion>10.0.0-rc.1.25573.1</MicrosoftDotNetWpfDncEngPackageVersion>
   </PropertyGroup>
   <!--Property group for alternate package version names-->
   <PropertyGroup>

eng/Version.Details.xml

@@ -22,9 +22,9 @@
       <Uri>https://github.com/dotnet/dotnet</Uri>
       <Sha>d119b40e8ff3b88f87ad60b04c807233a159b197</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.DotNet.Wpf.DncEng" Version="10.0.0-rc.1.25569.4">
+    <Dependency Name="Microsoft.DotNet.Wpf.DncEng" Version="10.0.0-rc.1.25573.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-wpf-int</Uri>
-      <Sha>5758c5b9626d98cbc8990ed0b5a0e1f13cd79196</Sha>
+      <Sha>6728e84a57b452a39cbbeafd7979ab64f387ba23</Sha>
     </Dependency>
     <Dependency Name="System.Resources.Extensions" Version="10.0.0-rc.3.25574.108">
       <Uri>https://github.com/dotnet/dotnet</Uri>