[main] Update dependencies from dotnet/templating (#39877)

Co-authored-by: dotnet-maestro[bot] <dotnet-maestro[bot]@users.noreply.github.com>

Author: dotnet-maestro[bot]

eng/Version.Details.xml

@@ -1,18 +1,18 @@
 <?xml version="1.0" encoding="utf-8"?>
 <Dependencies>
   <ProductDependencies>
-    <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="9.0.100-preview.4.24177.4">
+    <Dependency Name="Microsoft.TemplateEngine.Abstractions" Version="9.0.100-preview.4.24181.1">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>720bc0e020a462ae2f4671781766d099a0762aff</Sha>
+      <Sha>2604b7363dc5d8c92f8b30b6518ebcf2e048fbbd</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.100-preview.4.24177.4">
+    <Dependency Name="Microsoft.TemplateEngine.Mocks" Version="9.0.100-preview.4.24181.1">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>720bc0e020a462ae2f4671781766d099a0762aff</Sha>
+      <Sha>2604b7363dc5d8c92f8b30b6518ebcf2e048fbbd</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.100-preview.4.24177.4">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.templating" Version="9.0.100-preview.4.24181.1">
       <Uri>https://github.com/dotnet/templating</Uri>
-      <Sha>720bc0e020a462ae2f4671781766d099a0762aff</Sha>
+      <Sha>2604b7363dc5d8c92f8b30b6518ebcf2e048fbbd</Sha>
       <SourceBuild RepoName="templating" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.NETCore.App.Ref" Version="9.0.0-preview.4.24181.1">

eng/Versions.props

@@ -115,13 +115,13 @@
   </PropertyGroup>
   <PropertyGroup>
     <!-- Dependencies from https://github.com/dotnet/templating -->
-    <MicrosoftTemplateEngineAbstractionsPackageVersion>9.0.100-preview.4.24177.4</MicrosoftTemplateEngineAbstractionsPackageVersion>
+    <MicrosoftTemplateEngineAbstractionsPackageVersion>9.0.100-preview.4.24181.1</MicrosoftTemplateEngineAbstractionsPackageVersion>
     <MicrosoftTemplateEngineEdgePackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineEdgePackageVersion>
     <MicrosoftTemplateEngineOrchestratorRunnableProjectsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineOrchestratorRunnableProjectsPackageVersion>
     <MicrosoftTemplateEngineUtilsPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineUtilsPackageVersion>
     <MicrosoftTemplateSearchCommonPackageVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateSearchCommonPackageVersion>
     <!-- test dependencies -->
-    <MicrosoftTemplateEngineMocksPackageVersion>9.0.100-preview.4.24177.4</MicrosoftTemplateEngineMocksPackageVersion>
+    <MicrosoftTemplateEngineMocksPackageVersion>9.0.100-preview.4.24181.1</MicrosoftTemplateEngineMocksPackageVersion>
     <MicrosoftTemplateEngineTestHelperPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateEngineTestHelperPackageVersion>
     <MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>$(MicrosoftTemplateEngineAbstractionsPackageVersion)</MicrosoftTemplateEngineAuthoringTemplateVerifierVersion>
     <MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>$(MicrosoftTemplateEngineMocksPackageVersion)</MicrosoftTemplateSearchTemplateDiscoveryPackageVersion>