Update dependencies from https://github.com/dotnet/templating build 20250902.13

Microsoft.SourceBuild.Intermediate.templating , Microsoft.TemplateEngine.Abstractions , Microsoft.TemplateEngine.Mocks
 From Version 8.0.414-servicing.25414.4 -> To Version 8.0.415-servicing.25452.13

Author: dotnet-maestro[bot]

NuGet.config

@@ -22,7 +22,7 @@
     <!--  Begin: Package sources from dotnet-runtime -->
     <!--  End: Package sources from dotnet-runtime -->
     <!--  Begin: Package sources from dotnet-templating -->
-    <add key="darc-pub-dotnet-templating-31416eb" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-31416ebe/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-9c1d9e5" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-9c1d9e51/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

@@ -1,17 +1,17 @@
 <?xml version="1.0" encoding="utf-8"?>
 <Dependencies>
   <ProductDependencies>
-    <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="8.0.414">
+    <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="8.0.415">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>31416ebeb877a43190a5aaa24b1ddacf1f75a576</Sha>
+      <Sha>9c1d9e51e7dc26896fb41555cc2f01fb89334c35</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="8.0.414-servicing.25417.9">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="8.0.415-servicing.25452.13">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>31416ebeb877a43190a5aaa24b1ddacf1f75a576</Sha>
+      <Sha>9c1d9e51e7dc26896fb41555cc2f01fb89334c35</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="8.0.414-servicing.25417.9">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="8.0.415-servicing.25452.13">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>31416ebeb877a43190a5aaa24b1ddacf1f75a576</Sha>
+      <Sha>9c1d9e51e7dc26896fb41555cc2f01fb89334c35</Sha>
       <SourceBuild RepoName="templating" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.NETCore.App.Ref" Version="8.0.19">

eng/Versions.props

@@ -143,13 +143,13 @@
   </PropertyGroup>
   <PropertyGroup>
     <!-- Dependencies from https://github.com/dotnet/templating -->
-    <MicrosoftTemplateEngineAbstractionsPackageVersion>8.0.414</MicrosoftTemplateEngineAbstractionsPackageVersion>
+    <MicrosoftTemplateEngineAbstractionsPackageVersion>8.0.415</MicrosoftTemplateEngineAbstractionsPackageVersion>
     <MicrosoftTemplateEngineEdgePackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineEdgePackageVersion>
     <MicrosoftTemplateEngineOrchestratorRunnableProjectsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineOrchestratorRunnableProjectsPackageVersion>
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>8.0.414-servicing.25417.9</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>8.0.415-servicing.25452.13</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>