Update dependencies from https://github.com/dotnet/arcade build 20251003.3 (#603)

On relative base path root
Microsoft.DotNet.Arcade.Sdk From Version 9.0.0-beta.25475.3 -> To Version 9.0.0-beta.25503.3

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

Author: dotnet-maestro[bot]

eng/Version.Details.xml

@@ -3,9 +3,9 @@
   <ProductDependencies>
   </ProductDependencies>
   <ToolsetDependencies>
-    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="9.0.0-beta.25475.3">
+    <Dependency Name="Microsoft.DotNet.Arcade.Sdk" Version="9.0.0-beta.25503.3">
       <Uri>https://github.com/dotnet/arcade</Uri>
-      <Sha>6404baed798af89accd98219614e6c90c153cd8c</Sha>
+      <Sha>f8c9a6d12e5a3b281661924da22d7de1cc6ab27d</Sha>
     </Dependency>
   </ToolsetDependencies>
 </Dependencies>

eng/common/post-build/nuget-verification.ps1

@@ -30,7 +30,7 @@
 [CmdletBinding(PositionalBinding = $false)]
 param(
    [string]$NuGetExePath,
-   [string]$PackageSource = "https://api.nuget.org/v3/index.json",
+   [string]$PackageSource = "https://pkgs.dev.azure.com/dnceng/public/_packaging/dotnet-public/nuget/v3/index.json",
    [string]$DownloadPath,
    [Parameter(ValueFromRemainingArguments = $true)]
    [string[]]$args

global.json

@@ -8,7 +8,7 @@
     "dotnet": "9.0.110"
   },
   "msbuild-sdks": {
-    "Microsoft.DotNet.Arcade.Sdk": "9.0.0-beta.25475.3",
+    "Microsoft.DotNet.Arcade.Sdk": "9.0.0-beta.25503.3",
     "Microsoft.Build.NoTargets": "3.7.0",
     "Microsoft.Build.Traversal": "3.4.0"
   }