Update dependencies from https://github.com/dotnet/templating build 20251010.14

On relative base path root
Microsoft.TemplateEngine.Abstractions From Version 9.0.306 -> To Version 9.0.307
Microsoft.TemplateEngine.Mocks From Version 9.0.111-servicing.25465.7 -> To Version 9.0.307-servicing.25510.14

Author: dotnet-maestro[bot]

NuGet.config

@@ -37,7 +37,7 @@
     <!--  Begin: Package sources from dotnet-runtime -->
     <!--  End: Package sources from dotnet-runtime -->
     <!--  Begin: Package sources from dotnet-templating -->
-    <add key="darc-pub-dotnet-templating-e1990ee" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-e1990eef/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-templating-96bad0d" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-templating-96bad0d3/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

@@ -3,11 +3,11 @@
   <ProductDependencies>
     <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="9.0.307">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>e1990eeffb0712b41a2163eb64cebb52b55b9962</Sha>
+      <Sha>96bad0d3e0e43c50bdb3e93efc9520724677b22a</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.307-servicing.25510.8">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.307-servicing.25510.14">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>e1990eeffb0712b41a2163eb64cebb52b55b9962</Sha>
+      <Sha>96bad0d3e0e43c50bdb3e93efc9520724677b22a</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
     <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.111-servicing.25465.7">

eng/Versions.props

@@ -195,7 +195,7 @@
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>9.0.307-servicing.25510.8</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>9.0.307-servicing.25510.14</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>