Update dependencies from https://github.com/dotnet/arcade build 20251009.1 (#18978)

On relative base path root
Microsoft.DotNet.Arcade.Sdk From Version 11.0.0-beta.25508.3 -> To Version 11.0.0-beta.25509.1

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

Author: dotnet-maestro[bot]

eng/Version.Details.props

@@ -18,7 +18,7 @@ This file should be imported by eng/Versions.props
     <SystemReflectionMetadataPackageVersion>9.0.0</SystemReflectionMetadataPackageVersion>
     <SystemThreadingTasksDataflowPackageVersion>9.0.0</SystemThreadingTasksDataflowPackageVersion>
     <!-- dotnet/arcade dependencies -->
-    <MicrosoftDotNetArcadeSdkPackageVersion>11.0.0-beta.25508.3</MicrosoftDotNetArcadeSdkPackageVersion>
+    <MicrosoftDotNetArcadeSdkPackageVersion>11.0.0-beta.25509.1</MicrosoftDotNetArcadeSdkPackageVersion>
     <!-- _git/dotnet-optimization dependencies -->
     <optimizationlinuxarm64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationlinuxarm64MIBCRuntimePackageVersion>
     <optimizationlinuxx64MIBCRuntimePackageVersion>1.0.0-prerelease.25502.1</optimizationlinuxx64MIBCRuntimePackageVersion>

eng/Version.Details.xml

@@ -76,9 +76,9 @@
     </Dependency>
   </ProductDependencies>
   <ToolsetDependencies>
-    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="11.0.0-beta.25508.3">
+    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="11.0.0-beta.25509.1">
       <Uri>https://github.com/dotnet/arcade</Uri>
-      <Sha>41dda26a1806c552974e29d5ba476107ec0311a1</Sha>
+      <Sha>488413fe104056170673a048a07906314e101e5d</Sha>
     </Dependency>
     <Dependency Name="optimization.windows_nt-x64.MIBC.Runtime" Version="1.0.0-prerelease.25502.1">
       <Uri>https://dev.azure.com/dnceng/internal/_git/dotnet-optimization</Uri>

global.json

@@ -22,7 +22,7 @@
     "perl": "5.38.2.2"
   },
   "msbuild-sdks": {
-    "Microsoft.DotNet.Arcade.Sdk": "11.0.0-beta.25508.3",
+    "Microsoft.DotNet.Arcade.Sdk": "11.0.0-beta.25509.1",
     "Microsoft.DotNet.Helix.Sdk": "8.0.0-beta.23255.2"
   }
 }