Update dependencies from https://github.com/dotnet/emsdk build 20250121.1 (#111712)

Microsoft.SourceBuild.Intermediate.emsdk , Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100
 From Version 8.0.12-servicing.24569.2 -> To Version 8.0.13-servicing.25071.1

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

Author: dotnet-maestro[bot]

NuGet.config

@@ -9,10 +9,7 @@
     <clear />
     <!--Begin: Package sources managed by Dependency Flow automation. Do not edit the sources below.-->
     <!--  Begin: Package sources from dotnet-emsdk -->
-    <add key="darc-pub-dotnet-emsdk-c458a76" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-c458a764/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-emsdk-c458a76-3" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-c458a764-3/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-emsdk-c458a76-2" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-c458a764-2/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-emsdk-c458a76-1" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-c458a764-1/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-emsdk-b767aab" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-b767aaba/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-emsdk -->
     <!--  Begin: Package sources from dotnet-sdk -->
     <!--  End: Package sources from dotnet-sdk -->

eng/Version.Details.xml

@@ -90,13 +90,13 @@
       <Sha>45dd3a73dd5b64b010c4251303b3664bb30df029</Sha>
       <SourceBuild RepoName="cecil" ManagedOnly="true" />
     </Dependency>
-    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.12">
+    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.13">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>c458a7647c04e323c238f381eb176af24254b3ff</Sha>
+      <Sha>b767aaba495c5666e715d070cf2556e6a6bb58dc</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.12-servicing.24569.2">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.13-servicing.25071.1">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>c458a7647c04e323c238f381eb176af24254b3ff</Sha>
+      <Sha>b767aaba495c5666e715d070cf2556e6a6bb58dc</Sha>
       <SourceBuild RepoName="emsdk" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.SourceBuild.Intermediate.source-build-reference-packages" Version="8.0.0-alpha.1.25060.2">

eng/Versions.props

@@ -242,7 +242,7 @@
          Note: when the name is updated, make sure to update dependency name in eng/pipelines/common/xplat-setup.yml
                like - DarcDependenciesChanged.Microsoft_NET_Workload_Emscripten_Current_Manifest-8_0_100_Transport
     -->
-    <MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>8.0.12</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
+    <MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>8.0.13</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
     <MicrosoftNETRuntimeEmscriptenVersion>$(MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version)</MicrosoftNETRuntimeEmscriptenVersion>
     <!-- workloads -->
     <SwixPackageVersion>1.1.87-gba258badda</SwixPackageVersion>