[release/8.0] Update dependencies from dotnet/emsdk (#123408)

This pull request updates the following dependencies

[marker]: <> (Begin:4ebef09c-22a4-4345-9e95-08db9f47cad7)
## From https://github.com/dotnet/emsdk
- **Subscription**:
[4ebef09c-22a4-4345-9e95-08db9f47cad7](https://maestro.dot.net/subscriptions?search=4ebef09c-22a4-4345-9e95-08db9f47cad7)
- **Build**:
[20260202.2](https://dev.azure.com/dnceng/internal/_build/results?buildId=2893841)
([300038](https://maestro.dot.net/channel/3073/github:dotnet:emsdk/build/300038))
- **Date Produced**: February 3, 2026 2:41:01 PM UTC
- **Commit**:
[badf9f97aaf4c2166b17bd6475ca73958c11e309](dotnet/emsdk@badf9f9)
- **Branch**:
[release/8.0](https://github.com/dotnet/emsdk/tree/release/8.0)

[DependencyUpdate]: <> (Begin)

- **Dependency Updates**:
  - From [8.0.24-servicing.26056.3 to 8.0.25-servicing.26102.2][3]
     - Microsoft.SourceBuild.Intermediate.emsdk
  - From [8.0.24 to 8.0.25][3]
     - Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100

[3]: dotnet/emsdk@8b730da...badf9f9

[DependencyUpdate]: <> (End)


[marker]: <> (End:4ebef09c-22a4-4345-9e95-08db9f47cad7)

---------

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

Author: dotnet-maestro[bot]

NuGet.config

@@ -9,7 +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-8b730da" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-8b730da9/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-emsdk-badf9f9" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-badf9f97/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>8bb0f2d5f3b6b9dff32e2643642bea09bf6ae38d</Sha>
       <SourceBuild RepoName="cecil" ManagedOnly="true" />
     </Dependency>
-    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.24">
+    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.25">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>8b730da92c2b7c1b200325c7e28965b71759e959</Sha>
+      <Sha>badf9f97aaf4c2166b17bd6475ca73958c11e309</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.24-servicing.26056.3">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.25-servicing.26102.2">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>8b730da92c2b7c1b200325c7e28965b71759e959</Sha>
+      <Sha>badf9f97aaf4c2166b17bd6475ca73958c11e309</Sha>
       <SourceBuild RepoName="emsdk" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.SourceBuild.Intermediate.source-build-reference-packages" Version="8.0.0-alpha.1.25522.3">

eng/Versions.props

@@ -254,7 +254,7 @@
          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>8.0.24</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
+    <MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>8.0.25</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
     <MicrosoftNETRuntimeEmscriptenVersion>$(MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version)</MicrosoftNETRuntimeEmscriptenVersion>
     <!-- workloads -->
     <SwixPackageVersion>1.1.87-gba258badda</SwixPackageVersion>