Update dependencies from https://github.com/dotnet/emsdk build 20231004.1 (#92992)

Microsoft.NET.Workload.Emscripten.net6.Manifest-7.0.100 , Microsoft.NET.Workload.Emscripten.net7.Manifest-7.0.100
 From Version 7.0.12 -> To Version 7.0.13

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-9506882" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-95068821/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-emsdk-6f67d4a" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-6f67d4ab/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-emsdk -->
     <!--End: Package sources managed by Dependency Flow automation. Do not edit the sources above.-->
     <!--

eng/Version.Details.xml

@@ -48,13 +48,13 @@
       <Uri>https://github.com/dotnet/command-line-api</Uri>
       <Sha>5618b2d243ccdeb5c7e50a298b33b13036b4351b</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.NET.Workload.Emscripten.net6.Manifest-7.0.100" Version="7.0.12">
+    <Dependency Name="Microsoft.NET.Workload.Emscripten.net6.Manifest-7.0.100" Version="7.0.13">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>9506882149df72322dba902cd42778ae4c4a6fbf</Sha>
+      <Sha>6f67d4ab0e07dcc604a884d42fb74414800ddc6f</Sha>
     </Dependency>
-    <Dependency Name="Microsoft.NET.Workload.Emscripten.net7.Manifest-7.0.100" Version="7.0.12">
+    <Dependency Name="Microsoft.NET.Workload.Emscripten.net7.Manifest-7.0.100" Version="7.0.13">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>9506882149df72322dba902cd42778ae4c4a6fbf</Sha>
+      <Sha>6f67d4ab0e07dcc604a884d42fb74414800ddc6f</Sha>
     </Dependency>
   </ProductDependencies>
   <ToolsetDependencies>

eng/Versions.props

@@ -22,8 +22,8 @@
     <UsingToolIbcOptimization>false</UsingToolIbcOptimization>
     <UsingToolXliff>false</UsingToolXliff>
     <LastReleasedStableAssemblyVersion>$(AssemblyVersion)</LastReleasedStableAssemblyVersion>
-    <MicrosoftNETWorkloadEmscriptennet6Manifest70100Version>7.0.12</MicrosoftNETWorkloadEmscriptennet6Manifest70100Version>
-    <MicrosoftNETWorkloadEmscriptennet7Manifest70100Version>7.0.12</MicrosoftNETWorkloadEmscriptennet7Manifest70100Version>
+    <MicrosoftNETWorkloadEmscriptennet6Manifest70100Version>7.0.13</MicrosoftNETWorkloadEmscriptennet6Manifest70100Version>
+    <MicrosoftNETWorkloadEmscriptennet7Manifest70100Version>7.0.13</MicrosoftNETWorkloadEmscriptennet7Manifest70100Version>
   </PropertyGroup>
   <ItemGroup>
     <!-- The bands we want to produce workload manifests for -->