codex - 💡(How to fix) Fix Feature request: display active model name in chat UI

Description

It would be useful to always show the name of the active model in the chat interface, so users can quickly identify which model they're interacting with without having to ask.

Motivation

• Users may switch between models and lose track of which one is active.
• Transparency about the model in use helps with debugging and reproducibility.
• Other AI coding assistants (e.g., Cursor) already display the model name prominently.

Proposed Solution

Display the active model name in one or more of the following places:

• The chat input bar (e.g., a small label like Model: OWL)
• The header/title bar of the app
• A status bar at the bottom of the window

Alternatives Considered

• Relying on the user to ask the model its name — not ideal, as it adds friction and the model could theoretically be wrong about its own identity.

Additional Context

This is a small UX improvement that would add clarity for all users, especially those who frequently switch models.