Remove AzureAIInference remnants after #7096 (#7102)

* Initial plan

* Remove AzureAIInference remnants after PR #7096

Co-authored-by: jozkee <16040868+jozkee@users.noreply.github.com>

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: jozkee <16040868+jozkee@users.noreply.github.com>

Author: Copilot

test/Libraries/Microsoft.Extensions.AI.Integration.Tests/README.md

@@ -41,23 +41,6 @@ dotnet user-secrets set OpenAI:ImageModel dall-e-3
 
 Your account must have models matching these names.
 
-### Configuring Azure AI Inference tests
-
-Run commands like the following. The settings will be saved in your user profile.
-
-```
-cd test/Libraries/Microsoft.Extensions.AI.Integration.Tests
-dotnet user-secrets set AzureAIInference:Endpoint https://YOUR_DEPLOYMENT.azure.com/
-dotnet user-secrets set AzureAIInference:Key abcdefghijkl
-```
-
-Optionally also run the following. The values shown here are the defaults if you don't specify otherwise:
-
-```
-dotnet user-secrets set AzureAIInference:ChatModel gpt-4o-mini
-dotnet user-secrets set AzureAIInference:EmbeddingModel text-embedding-3-small
-```
-
 ### Configuring Ollama tests
 
 Run commands like the following. The settings will be saved in your user profile.

test/Libraries/Microsoft.Extensions.AotCompatibility.TestApp/Microsoft.Extensions.AotCompatibility.TestApp.csproj

@@ -15,8 +15,6 @@
     <PackageReference Remove="ReferenceTrimmer" />
 
     <LibraryProjects Include="$(RepoRoot)\src\Libraries\**\*.csproj" />
-    <!-- https://github.com/Azure/azure-sdk-for-net/issues/47069 -->
-    <LibraryProjects Remove="$(RepoRoot)\src\Libraries\Microsoft.Extensions.AI.AzureAIInference\Microsoft.Extensions.AI.AzureAIInference.csproj" />
     <!-- https://github.com/dotnet/extensions/issues/5624 -->
     <LibraryProjects Remove="$(RepoRoot)\src\Libraries\Microsoft.Extensions.Caching.Hybrid\Microsoft.Extensions.Caching.Hybrid.csproj" />
     <!-- https://github.com/dotnet/extensions/issues/5623 -->