Update dependencies from https://github.com/dotnet/arcade build 20251110.1 (#19063)

On relative base path root
Microsoft.DotNet.Arcade.Sdk From Version 11.0.0-beta.25557.2 -> To Version 11.0.0-beta.25560.1

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

Author: dotnet-maestro[bot]

eng/Version.Details.props

@@ -27,7 +27,7 @@ This file should be imported by eng/Versions.props
     <MicrosoftCodeAnalysisFeaturesPackageVersion>5.0.0-2.25480.7</MicrosoftCodeAnalysisFeaturesPackageVersion>
     <MicrosoftVisualStudioLanguageServicesPackageVersion>5.0.0-2.25480.7</MicrosoftVisualStudioLanguageServicesPackageVersion>
     <!-- dotnet/arcade dependencies -->
-    <MicrosoftDotNetArcadeSdkPackageVersion>11.0.0-beta.25557.2</MicrosoftDotNetArcadeSdkPackageVersion>
+    <MicrosoftDotNetArcadeSdkPackageVersion>11.0.0-beta.25560.1</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.25557.2">
+    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="11.0.0-beta.25560.1">
       <Uri>https://github.com/dotnet/arcade</Uri>
-      <Sha>7d717a49d570577936361c14de38bf61271aa274</Sha>
+      <Sha>3a7f017be1c42a4ecc516446977cf55d429cf390</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.25557.2",
+    "Microsoft.DotNet.Arcade.Sdk": "11.0.0-beta.25560.1",
     "Microsoft.DotNet.Helix.Sdk": "8.0.0-beta.23255.2"
   }
 }