Feature/mcp client initialized event (#277)

* Add mcp_client_initialized event after client info is set\n\n- Capture event immediately after currentClient is populated with actual values\n- Event now includes correct client_name and client_version in analytics payload\n- Added client_info_available property to track edge cases where clientInfo is missing\n- Resolves timing issue where run_server_start captured 'uninitialized' client name

* Change a bit how we log

Author: wonderwhy-er

src/server.ts

@@ -120,17 +120,19 @@ server.setRequestHandler(InitializeRequestSchema, async (request: InitializeRequ
                 name: clientInfo.name || 'unknown',
                 version: clientInfo.version || 'unknown'
             };
-            
+
             // Configure transport for client-specific behavior
             const transport = (global as any).mcpTransport;
             if (transport && typeof transport.configureForClient === 'function') {
                 transport.configureForClient(currentClient.name);
             }
-            
+
             // Defer client connection message until after initialization
             deferLog('info', `Client connected: ${currentClient.name} v${currentClient.version}`);
         }
 
+        capture('mcp_client_initialized');
+
         // Return standard initialization response
         return {
             protocolVersion: "2024-11-05",