Update dependencies from https://github.com/dotnet/source-build-externals build 20241016.1 (#58542)

[main] Update dependencies from dotnet/source-build-externals

Author: dotnet-maestro[bot]

eng/Version.Details.xml

@@ -372,9 +372,9 @@
       <Sha>dfc2b85a00f3baf5ac52d7615bf857e6217011c8</Sha>
     </Dependency>
     <!-- Intermediate is necessary for source build. -->
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.source-build-externals" Version="10.0.0-alpha.1.24511.4">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.source-build-externals" Version="10.0.0-alpha.1.24516.1">
       <Uri>https://github.com/dotnet/source-build-externals</Uri>
-      <Sha>61f719aea181a75790c5a3e954287ee938387656</Sha>
+      <Sha>d22c9e818d40d0b36874f8db31550b1ea7f66c72</Sha>
       <SourceBuild RepoName="source-build-externals" ManagedOnly="true" />
     </Dependency>
   </ProductDependencies>

eng/Versions.props

@@ -170,7 +170,7 @@
     <MicrosoftDotNetRemoteExecutorVersion>10.0.0-beta.24511.1</MicrosoftDotNetRemoteExecutorVersion>
     <MicrosoftSourceBuildIntermediatearcadeVersion>10.0.0-beta.24511.1</MicrosoftSourceBuildIntermediatearcadeVersion>
     <!-- Packages from dotnet/source-build-externals -->
-    <MicrosoftSourceBuildIntermediatesourcebuildexternalsVersion>10.0.0-alpha.1.24511.4</MicrosoftSourceBuildIntermediatesourcebuildexternalsVersion>
+    <MicrosoftSourceBuildIntermediatesourcebuildexternalsVersion>10.0.0-alpha.1.24516.1</MicrosoftSourceBuildIntermediatesourcebuildexternalsVersion>
     <!-- Packages from dotnet/source-build-reference-packages -->
     <MicrosoftSourceBuildIntermediatesourcebuildreferencepackagesVersion>10.0.0-alpha.1.24515.1</MicrosoftSourceBuildIntermediatesourcebuildreferencepackagesVersion>
     <!-- Packages from dotnet/symreader -->