Add the name of current model to the status line

What feature would you like to see?

I would like to see the name of the model which is currently used for answering questions in the status line or somewhere else. Because right now each time I want to check that I need to run /model and I can't do that while its answering my questions, so it's quite annoying.

Example:

<img width="709" height="178" alt="Image" src="https://github.com/user-attachments/assets/e5b29c6d-f0e6-4a1c-8e1d-1f4e18f388df" />

Additional information

_No response_