Debugging multiple instances put prints and warnings in the wrong debug console

### Godot version

v4.4.1.stable.official [49a5bc7b6]

### VS Code version

1.101.2

### Godot Tools VS Code extension version

2.5.1

### System information

Fedora Workstation 42

### Issue description

When debugging multiple instances, some output logs are placed in the wrong debug console.

https://github.com/user-attachments/assets/f03f83e5-1bf5-426c-a657-3c4ab9f8a072

Another thing I noticed that ending one debugging session ends all other sessions. I'm not sure if it's an existing issue or not.

### Steps to reproduce

1. Start debugging
2. Start another debugging session
3. Check debug console