Update dependencies from https://github.com/dotnet/templating build 20250514.3

Microsoft.SourceBuild.Intermediate.templating , Microsoft.TemplateEngine.Abstractions , Microsoft.TemplateEngine.Mocks
 From Version 9.0.107-servicing.25258.2 -> To Version 9.0.107-servicing.25264.3

Author: dotnet-maestro[bot]

NuGet.config

@@ -35,7 +35,7 @@
     <!--  Begin: Package sources from dotnet-runtime -->
     <!--  End: Package sources from dotnet-runtime -->
     <!--  Begin: Package sources from dotnet-templating -->
-    <add key="darc-pub-dotnet-templating-0c96b36" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-0c96b36c/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-c671e3d" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-c671e3de/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

@@ -3,16 +3,16 @@
   <ProductDependencies>
     <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="9.0.107">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>0c96b36ccec4428bbfdeafae392bda49c1667361</Sha>
+      <Sha>c671e3de121ce56d69ccf5433f6a7f3ad1357983</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.107-servicing.25258.2">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.107-servicing.25264.3">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>0c96b36ccec4428bbfdeafae392bda49c1667361</Sha>
+      <Sha>c671e3de121ce56d69ccf5433f6a7f3ad1357983</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.107-servicing.25258.2">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.107-servicing.25264.3">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>0c96b36ccec4428bbfdeafae392bda49c1667361</Sha>
+      <Sha>c671e3de121ce56d69ccf5433f6a7f3ad1357983</Sha>
       <SourceBuild RepoName="templating" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.NETCore.App.Ref" Version="9.0.4">

eng/Versions.props

@@ -193,7 +193,7 @@
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>9.0.107-servicing.25258.2</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>9.0.107-servicing.25264.3</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>