Update dependencies from https://github.com/dotnet/templating build 20250112.10

Microsoft.SourceBuild.Intermediate.templating , Microsoft.TemplateEngine.Abstractions , Microsoft.TemplateEngine.Mocks
 From Version 8.0.406-servicing.25059.3 -> To Version 8.0.406-servicing.25062.10

Author: dotnet-maestro[bot]

NuGet.config

@@ -27,7 +27,7 @@
     <!--  Begin: Package sources from dotnet-runtime -->
     <!--  End: Package sources from dotnet-runtime -->
     <!--  Begin: Package sources from dotnet-templating -->
-    <add key="darc-pub-dotnet-templating-8316f1a" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-8316f1a2/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-8e2a201" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-8e2a2019/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-templating -->
     <!--  Begin: Package sources from dotnet-windowsdesktop -->
     <!--  End: Package sources from dotnet-windowsdesktop -->

eng/Version.Details.xml

@@ -3,15 +3,15 @@
   <ProductDependencies>
     <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="8.0.406">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>8316f1a2eea1fcb164b622c3a863a16e67c342f5</Sha>
+      <Sha>8e2a201983cf06110302014a4c4592da13419cb5</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="8.0.406-servicing.25059.3">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="8.0.406-servicing.25062.10">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>8316f1a2eea1fcb164b622c3a863a16e67c342f5</Sha>
+      <Sha>8e2a201983cf06110302014a4c4592da13419cb5</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="8.0.406-servicing.25059.3">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="8.0.406-servicing.25062.10">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>8316f1a2eea1fcb164b622c3a863a16e67c342f5</Sha>
+      <Sha>8e2a201983cf06110302014a4c4592da13419cb5</Sha>
       <SourceBuild RepoName="templating" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.NETCore.App.Ref" Version="8.0.11">

eng/Versions.props

@@ -147,7 +147,7 @@
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>8.0.406-servicing.25059.3</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>8.0.406-servicing.25062.10</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>