Update dependencies from https://github.com/dotnet/templating build 20250716.10

Microsoft.SourceBuild.Intermediate.templating , Microsoft.TemplateEngine.Abstractions , Microsoft.TemplateEngine.Mocks
 From Version 9.0.109-servicing.25353.8 -> To Version 9.0.109-servicing.25366.10

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-a2ff069" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-a2ff0690/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-61fb439" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-61fb439b/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="9.0.109">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>a2ff0690fa109b716f04e17d6dfc84ec3a7fb46f</Sha>
+      <Sha>61fb439b15da6a93e411fb3075b6450afd248f63</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.109-servicing.25366.5">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.109-servicing.25366.10">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>a2ff0690fa109b716f04e17d6dfc84ec3a7fb46f</Sha>
+      <Sha>61fb439b15da6a93e411fb3075b6450afd248f63</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.109-servicing.25366.5">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.109-servicing.25366.10">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>a2ff0690fa109b716f04e17d6dfc84ec3a7fb46f</Sha>
+      <Sha>61fb439b15da6a93e411fb3075b6450afd248f63</Sha>
       <SourceBuild RepoName="templating" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.NETCore.App.Ref" Version="9.0.7">

eng/Versions.props

@@ -193,7 +193,7 @@
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>9.0.109-servicing.25366.5</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>9.0.109-servicing.25366.10</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>