Update dependencies from https://github.com/dotnet/emsdk build 20231012.1 (#93408)

Microsoft.NET.Workload.Emscripten.net6.Manifest-7.0.100 , Microsoft.NET.Workload.Emscripten.net7.Manifest-7.0.100
 From Version 7.0.13 -> 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-6f67d4a" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-6f67d4ab/nuget/v3/index.json" />
+    <add key="darc-pub-dotnet-emsdk-44da825" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-emsdk-44da825c/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

@@ -50,11 +50,11 @@
     </Dependency>
     <Dependency Name="Microsoft.NET.Workload.Emscripten.net6.Manifest-7.0.100" Version="7.0.13">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>6f67d4ab0e07dcc604a884d42fb74414800ddc6f</Sha>
+      <Sha>44da825cb96e08d28d258c5cda0ba14bbc4f91c3</Sha>
     </Dependency>
     <Dependency Name="Microsoft.NET.Workload.Emscripten.net7.Manifest-7.0.100" Version="7.0.13">
       <Uri>https://github.com/dotnet/emsdk</Uri>
-      <Sha>6f67d4ab0e07dcc604a884d42fb74414800ddc6f</Sha>
+      <Sha>44da825cb96e08d28d258c5cda0ba14bbc4f91c3</Sha>
     </Dependency>
   </ProductDependencies>
   <ToolsetDependencies>