Update dependencies from https://github.com/dotnet/arcade build 20260810.1

On relative base path root
Microsoft.DotNet.Arcade.Sdk From Version 10.0.0-beta.26406.9 -> To Version 10.0.0-beta.26410.1

Author: dotnet-maestro[bot]

NuGet.config

@@ -12,9 +12,6 @@
     <!--  Begin: Package sources from dotnet-android -->
     <!--  End: Package sources from dotnet-android -->
     <!--  Begin: Package sources from dotnet-macios -->
-    <add key="darc-pub-dotnet-macios-ac895e1" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-macios-ac895e19/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-macios-ac895e1-2" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-macios-ac895e19-2/nuget/v3/index.json" />
-    <add key="darc-pub-dotnet-macios-ac895e1-1" value="https://pkgs.dev.azure.com/dnceng/public/_packaging/darc-pub-dotnet-macios-ac895e19-1/nuget/v3/index.json" />
     <!--  End: Package sources from dotnet-macios -->
     <!--  Begin: Package sources from dotnet-maui -->
     <!--  End: Package sources from dotnet-maui -->

eng/Version.Details.xml

@@ -36,9 +36,9 @@
     </Dependency>
   </ProductDependencies>
   <ToolsetDependencies>
-    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="10.0.0-beta.26406.9">
+    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="10.0.0-beta.26410.1">
       <Uri>https://github.com/dotnet/arcade</Uri>
-      <Sha>af57946065838fca9b1745ab055d5a15a4783fba</Sha>
+      <Sha>f0580c1beaa25ecdb341ad8396df48acf433fbec</Sha>
       <SourceBuild RepoName="arcade" ManagedOnly="true" />
     </Dependency>
   </ToolsetDependencies>

global.json

@@ -9,7 +9,7 @@
   },
   "msbuild-sdks": {
     "Microsoft.Build.NoTargets": "3.7.0",
-    "Microsoft.DotNet.Arcade.Sdk": "10.0.0-beta.26406.9",
+    "Microsoft.DotNet.Arcade.Sdk": "10.0.0-beta.26410.1",
     "Microsoft.VisualStudio.Internal.MicroBuild.Vsman": "2.0.174"
   }
 }