Return PersistentAgentsClient insead of AgentsAdministration client (Azure#49913)

* Fix readme files

* Set extension method to return the Persistent agent client.

* Update sdk/ai/Azure.AI.Agents.Persistent/samples/Sample7_PersistentAgents_Functions.md

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

* Update sdk/ai/Azure.AI.Agents.Persistent/README.md

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

* Generate APIView

---------

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

Author: nick863

sdk/ai/Azure.AI.Agents.Persistent/README.md

@@ -818,7 +818,7 @@ After the processing, the output queue should contain the message with the follo
   "CorrelationId": "42"
 }
 ```
-Please note that the in input `CorrelationId` value is the same as in the output.
+Please note that the input `CorrelationId` value is the same as in the output.
 *Hint:* Place multiple messages to input queue and keep second internet browser window with the output queue open, hit the refresh button on the portal user interface, so that you will not miss the message. If the function completed with error the message instead gets into the `azure-function-foo-input-poison` queue. If that happened, please check your setup.
 After we have tested the function and confirmed that it works, please make sure that the Azure AI Project have the next roles for the storage account: `Storage Account Contributor`, `Storage Blob Data Contributor`, `Storage File Data Privileged Contributor`, `Storage Queue Data Contributor` and `Storage Table Data Contributor`. Now the function is ready to be used by the agent.
 

sdk/ai/Azure.AI.Agents.Persistent/api/Azure.AI.Agents.Persistent.net8.0.cs

@@ -1162,7 +1162,7 @@ public PersistentAgentsClient(string endpoint, Azure.Core.TokenCredential creden
     }
     public static partial class PersistentAgentsExtensions
     {
-        public static Azure.AI.Agents.Persistent.PersistentAgentsAdministration GetPersistentAgentAdministrationClient(this System.ClientModel.Primitives.ClientConnectionProvider provider) { throw null; }
+        public static Azure.AI.Agents.Persistent.PersistentAgentsClient GetPersistentAgentsClient(this System.ClientModel.Primitives.ClientConnectionProvider provider) { throw null; }
     }
     public partial class PersistentAgentsFiles
     {

sdk/ai/Azure.AI.Agents.Persistent/api/Azure.AI.Agents.Persistent.netstandard2.0.cs

@@ -1162,7 +1162,7 @@ public PersistentAgentsClient(string endpoint, Azure.Core.TokenCredential creden
     }
     public static partial class PersistentAgentsExtensions
     {
-        public static Azure.AI.Agents.Persistent.PersistentAgentsAdministration GetPersistentAgentAdministrationClient(this System.ClientModel.Primitives.ClientConnectionProvider provider) { throw null; }
+        public static Azure.AI.Agents.Persistent.PersistentAgentsClient GetPersistentAgentsClient(this System.ClientModel.Primitives.ClientConnectionProvider provider) { throw null; }
     }
     public partial class PersistentAgentsFiles
     {

sdk/ai/Azure.AI.Agents.Persistent/samples/Sample7_PersistentAgents_Functions.md

@@ -1,6 +1,6 @@
 # Sample using agents with functions in Azure.AI.Agents.Persistent.
 
-In this example we are demonstrating how to use the local functions with the agents. The functions can be used to provide agent with specific information in response to user question.
+In this example we are demonstrating how to use the local functions with the agents. The functions can be used to provide the agent with specific information in response to a user question.
 
 1. First we need to create agent client and read the environment variables that will be used in the next steps.
 ```C# Snippet:AgentsFunctions_CreateClient

sdk/ai/Azure.AI.Agents.Persistent/src/Custom/PersistentAgentsExtensions.cs

@@ -20,11 +20,11 @@ public static class PersistentAgentsExtensions
         /// </summary>
         /// <param name="provider"></param>
         /// <returns></returns>
-        public static PersistentAgentsAdministration GetPersistentAgentAdministrationClient(this ClientConnectionProvider provider)
+        public static PersistentAgentsClient GetPersistentAgentsClient(this ClientConnectionProvider provider)
         {
             PersistentAgentsAdministrationKey key = new();
             PersistentAgentsAdministration agentsClient = provider.Subclients.GetClient(key , () => CreateAdministrationAgentsClient(provider));
-            return agentsClient;
+            return new PersistentAgentsClient(agentsClient);
         }
 
         private static PersistentAgentsAdministration CreateAdministrationAgentsClient(this ClientConnectionProvider provider)