Update based on feedback

Author: stephentoub

src/ModelContextProtocol/Protocol/Messages/RequestId.cs

@@ -36,7 +36,7 @@ public RequestId(long value)
 
     /// <inheritdoc />
     public override string ToString() =>
-        _id is string stringValue ? $"\"{stringValue}\"" :
+        _id is string stringValue ? stringValue :
         _id is long longValue ? longValue.ToString(CultureInfo.InvariantCulture) :
         string.Empty;
 

src/ModelContextProtocol/Shared/McpJsonRpcEndpoint.cs

@@ -3,6 +3,7 @@
 using ModelContextProtocol.Logging;
 using ModelContextProtocol.Protocol.Messages;
 using ModelContextProtocol.Protocol.Transport;
+using ModelContextProtocol.Server;
 using ModelContextProtocol.Utils;
 using System.Diagnostics.CodeAnalysis;
 
@@ -69,7 +70,7 @@ protected void StartSession(ITransport sessionTransport, CancellationToken fullS
         }
 
         _sessionCts = CancellationTokenSource.CreateLinkedTokenSource(fullSessionCancellationToken);
-        _session = new McpSession(sessionTransport, EndpointName, _requestHandlers, _notificationHandlers, _logger);
+        _session = new McpSession(this is IMcpServer, sessionTransport, EndpointName, _requestHandlers, _notificationHandlers, _logger);
         MessageProcessingTask = _session.ProcessMessagesAsync(_sessionCts.Token);
     }