Describe the bug

1. The client hangs when the server send a log notification after the initialization phase.
2. The client hangs when the server sends a response having the id as string.

Both of the actions operations are valid as per specification.

To Reproduce
This repository contains the files.

By modifying server.py then run uv run client.py should give you the behavior.

It also has a client implemented with typescript sdk as comparison.

Expected behavior
The client should perform normally, as the client written with typescript sdk.

Screenshots
If applicable, add screenshots to help explain your problem.

Desktop (please complete the following information):

• OS: MacOS
• Browser [e.g. chrome, safari]: n/a
• Version [e.g. 22]: n/a

Smartphone (please complete the following information):

• Device: [e.g. iPhone6]: n/a
• OS: [e.g. iOS8.1]: n/a
• Browser [e.g. stock browser, safari]: n/a
• Version [e.g. 22]: n/a

Additional context
n/a