[release/8.0] Update dependencies from dotnet/emsdk (#120408)

* Update dependencies from https://github.com/dotnet/emsdk build 20251004.2
On relative base path root
Microsoft.SourceBuild.Intermediate.emsdk From Version 8.0.21-servicing.25469.3 -> To Version 8.0.21-servicing.25504.2
Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100 From Version 8.0.21 -> To Version 8.0.21

* Update dependencies from https://github.com/dotnet/emsdk build 20251008.1
On relative base path root
Microsoft.SourceBuild.Intermediate.emsdk From Version 8.0.21-servicing.25469.3 -> To Version 8.0.22-servicing.25508.1
Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100 From Version 8.0.21 -> To Version 8.0.22

* Update dependencies from https://github.com/dotnet/emsdk build 20251009.3
On relative base path root
Microsoft.SourceBuild.Intermediate.emsdk From Version 8.0.21-servicing.25469.3 -> To Version 8.0.22-servicing.25509.3
Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100 From Version 8.0.21 -> To Version 8.0.22

---------

Co-authored-by: dotnet-maestro[bot] <dotnet-maestro[bot]@users.noreply.github.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-42532a7" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-42532a75/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-emsdk-e559274" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-e559274b/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>3ab718e87ce28aec65d210f6281c056086d9b947</Sha>
       <SourceBuild RepoName="cecil" ManagedOnly="true" />
     </Dependency>
-    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.21">
+    <Dependency Name="Microsoft.NET.Workload.Emscripten.Current.Manifest-8.0.100" Version="8.0.22">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>42532a7524749ad5d48d1820eaa7d4ab7e77faa6</Sha>
+      <Sha>e559274b6cbfa4d246d108332b181c55ef1c9b3f</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.21-servicing.25469.3">
+    <Dependency Name="Microsoft.SourceBuild.Intermediate.emsdk" Version="8.0.22-servicing.25509.3">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>42532a7524749ad5d48d1820eaa7d4ab7e77faa6</Sha>
+      <Sha>e559274b6cbfa4d246d108332b181c55ef1c9b3f</Sha>
       <SourceBuild RepoName="emsdk" ManagedOnly="true" />
     </Dependency>
     <Dependency Name="Microsoft.SourceBuild.Intermediate.source-build-reference-packages" Version="8.0.0-alpha.1.25428.6">

eng/Versions.props

@@ -252,7 +252,7 @@
          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>8.0.21</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
+    <MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>8.0.22</MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version>
     <MicrosoftNETRuntimeEmscriptenVersion>$(MicrosoftNETWorkloadEmscriptenCurrentManifest80100Version)</MicrosoftNETRuntimeEmscriptenVersion>
     <!-- workloads -->
     <SwixPackageVersion>1.1.87-gba258badda</SwixPackageVersion>