feature: Stdio Client Fails to Detect Immediate Server Process Termination

[yhuaminghui]

Problem Statement

When using the stdio client, if the server process terminates immediately after startup (e.g., due to parameter validation errors), the client cannot promptly detect that the process has exited. However, the client is unable to access the server's stderr output for debugging. Currently, cmd.Wait() is only called in the Close method, lacking early detection of the server process status. At present, I can only set a timeout for Initialize, but this is not a proper solution. I hope this capability can be added as soon as possible.