Microsoft.Extensions.AI.Templates fail on internal CI

[RussKie]

Description

#6096 causes build to fail on the internal CI.

Reproduction Steps

The failure can be repro'd locally:

git clean -xfd -e .dotnet
.\restore.cmd -vs Microsoft.Extensions.AI.Templates -nolaunch  
.\build.cmd -ci -build -configuration Release /p:OfficialBuildId=20250316.1
.\build.cmd -ci -test -configuration Release /p:OfficialBuildId=20250316.1 

Expected behavior

Microsoft.Extensions.AI.Templates.InegrationTests.AichatwebTemplatesTest tests pass successfully.

Actual behavior

On the public CI the result is:

    <PackageReference Include="Microsoft.Extensions.AI.OpenAI" Version="9.4.0" />
    <PackageReference Include="Microsoft.Extensions.AI" Version="9.4.0" />

on the internal CI the result is:

    <PackageReference Include="Microsoft.Extensions.AI.OpenAI" Version="9.4.0-preview.1.25166.4" />
    <PackageReference Include="Microsoft.Extensions.AI" Version="9.4.0-preview.1.25166.4" />

Regression?

No response

Known Workarounds

No response

Configuration

No response

Other information

No response