[internal/release/3.1] Update dependencies from dnceng/internal/dotnet-winforms

- Coherency Updates:
  - Microsoft.NETCore.App.Internal: from 3.1.3-servicing.20120.1 to 3.1.9-servicing.20459.3 (parent: Microsoft.Private.Winforms)

 - Resolve conflicts

eng/Version.Details.xml

 <?xml version="1.0" encoding="utf-8"?>
 <Dependencies>
   <ProductDependencies>
-    <Dependency Name="Microsoft.Private.Winforms" Version="4.8.1-servicing.20513.3">
+    <Dependency Name="Microsoft.Private.Winforms" Version="4.8.1-servicing.20561.1">
       <Uri>https://github.com/dotnet/winforms</Uri>
       <Sha>af517511ca77d0aed7408e2ca712aa2b984d6ecb</Sha>
     </Dependency>

eng/Versions.props

@@ -18,7 +18,7 @@
   </PropertyGroup>
   <!-- NuGet Package Versions -->
   <PropertyGroup>
-    <MicrosoftPrivateWinformsVersion>4.8.1-servicing.20513.3</MicrosoftPrivateWinformsVersion>
+    <MicrosoftPrivateWinformsVersion>4.8.1-servicing.20561.1</MicrosoftPrivateWinformsVersion>
   </PropertyGroup>
   <!-- Packages that come from https://github.com/dotnet/coreclr -->
   <PropertyGroup>