Update Microsoft.Extensions.AI packages to version 9.10.1 (#916)

* Initial plan

* Update Microsoft.Extensions.AI packages to latest versions (9.10.1)

Co-authored-by: stephentoub <[email protected]>

---------

Co-authored-by: copilot-swe-agent[bot] <[email protected]>
Co-authored-by: stephentoub <[email protected]>

Author: Copilot

Directory.Packages.props

@@ -3,7 +3,7 @@
     <ManagePackageVersionsCentrally>true</ManagePackageVersionsCentrally>
     <System9Version>9.0.10</System9Version>
     <System10Version>10.0.0-rc.2.25502.107</System10Version>
-    <MicrosoftExtensionsAIVersion>9.10.0</MicrosoftExtensionsAIVersion>
+    <MicrosoftExtensionsAIVersion>9.10.1</MicrosoftExtensionsAIVersion>
   </PropertyGroup>
 
   <!-- Product dependencies netstandard -->
@@ -60,7 +60,7 @@
       <PrivateAssets>all</PrivateAssets>
     </PackageVersion>
     <PackageVersion Include="GitHubActionsTestLogger" Version="2.4.1" />
-    <PackageVersion Include="Microsoft.Extensions.AI.OpenAI" Version="9.10.0-preview.1.25513.3" />
+    <PackageVersion Include="Microsoft.Extensions.AI.OpenAI" Version="9.10.1-preview.1.25521.4" />
     <PackageVersion Include="Microsoft.Extensions.DependencyInjection" Version="$(System9Version)" />
     <PackageVersion Include="Microsoft.Extensions.Hosting" Version="$(System9Version)" />
     <PackageVersion Include="Microsoft.Extensions.Logging" Version="$(System9Version)" />