.NET: Investigate PersistentChatClient Swallowing errors related to incorrect tool setting.

[rogerbarreto]

Incorrect tool setting is resulting in Empty results without exception which gives the wrong impression.

In Azure AI Foundry with the incorrect setting the UI shows clearly there was an error:

Related issue:

• .NET - Bing Grounding can not get result #707

[rogerbarreto]

PR Created to address the issue in the original library where the IChatClient implementation is below:

• Address PersistentChatClient not handling streaming content errors Azure/azure-sdk-for-net#54197