Update dependencies from https://github.com/dotnet/templating build 20250804.13

Microsoft.SourceBuild.Intermediate.templating , Microsoft.TemplateEngine.Abstractions , Microsoft.TemplateEngine.Mocks
 From Version 9.0.109-servicing.25353.8 -> To Version 9.0.110-servicing.25404.13

Author: dotnet-maestro[bot]

NuGet.config

@@ -35,10 +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-861f0ec" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-861f0ec3/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-templating-861f0ec-3" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-861f0ec3-3/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-templating-861f0ec-2" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-861f0ec3-2/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-templating-861f0ec-1" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-861f0ec3-1/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-d18ec5e" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-d18ec5e1/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="9.0.110">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>337d94593960e5baee080de92cd46830c3a6de2d</Sha>
+      <Sha>d18ec5e163f56adb143321ca1c63b054ab66a623</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.110-servicing.25404.7">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.110-servicing.25404.13">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>337d94593960e5baee080de92cd46830c3a6de2d</Sha>
+      <Sha>d18ec5e163f56adb143321ca1c63b054ab66a623</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.110-servicing.25404.7">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.110-servicing.25404.13">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>337d94593960e5baee080de92cd46830c3a6de2d</Sha>
+      <Sha>d18ec5e163f56adb143321ca1c63b054ab66a623</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>9.0.110-servicing.25404.7</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>9.0.110-servicing.25404.13</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>