Update dependencies from https://dev.azure.com/dnceng/internal/_git/dotnet-wpf-int build 20251029.1 (#11218)

[main] Update dependencies from dnceng/internal/dotnet-wpf-int

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.1.25529.101</SystemSecurityPermissionsPackageVersion>
     <SystemWindowsExtensionsPackageVersion>10.0.0-rc.1.25529.101</SystemWindowsExtensionsPackageVersion>
     <!-- _git/dotnet-wpf-int dependencies -->
-    <MicrosoftDotNetWpfDncEngPackageVersion>10.0.0-rc.1.25527.2</MicrosoftDotNetWpfDncEngPackageVersion>
+    <MicrosoftDotNetWpfDncEngPackageVersion>10.0.0-rc.1.25529.1</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>cdc420f453860b662a76fcc72672ed2a65243146</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.DotNet.Wpf.DncEng" Version="10.0.0-rc.1.25527.2">
+    <Dependency Name="Microsoft.DotNet.Wpf.DncEng" Version="10.0.0-rc.1.25529.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-wpf-int</Uri>
-      <Sha>91db64e45a942ac7661993f6e4f09bd8d1f37c0d</Sha>
+      <Sha>5f36280b0a1ca1026e7f3aca9bd1ed1da99059f6</Sha>
     </Dependency>
     <Dependency Name="System.Resources.Extensions" Version="10.0.0-rc.1.25529.101">
       <Uri>https://github.com/dotnet/dotnet</Uri>