Handle settings logs agent failures

MeetingAssistant.Tests/LiteLlmResponsesChatClientTests.cs

@@ -126,12 +126,14 @@ public sealed class LiteLlmResponsesChatClientTests
                     }
                     """)
             });
-        using var client = CreateClient(handler, reconnectionAttempts: 1);
+        var retryCount = 0;
+        using var client = CreateClient(handler, reconnectionAttempts: 1, retrying: () => retryCount++);
 
         var response = await client.GetResponseAsync([new ChatMessage(ChatRole.User, "write summary")]);
 
         Assert.Equal("Done.", response.Text);
         Assert.Equal(2, handler.RequestCount);
+        Assert.Equal(1, retryCount);
     }
 
     [Fact]
@@ -303,7 +305,8 @@ public sealed class LiteLlmResponsesChatClientTests
     private static LiteLlmResponsesChatClient CreateClient(
         HttpMessageHandler handler,
         int reconnectionAttempts,
-        LiteLlmResponsesCompactionOptions? compactionOptions = null)
+        LiteLlmResponsesCompactionOptions? compactionOptions = null,
+        Action? retrying = null)
     {
         return new LiteLlmResponsesChatClient(
             new HttpClient(handler)
@@ -316,7 +319,8 @@ public sealed class LiteLlmResponsesChatClientTests
             reasoningEffort: "none",
             reconnectionAttempts,
             TimeSpan.Zero,
-            compactionOptions);
+            compactionOptions,
+            retrying: retrying);
     }
 
     private sealed class SequencedHttpMessageHandler : HttpMessageHandler