[FEATURE] VS Code extension panel should display current model name passively

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

There is no way to see which model is currently active in the VS Code extension panel without interrupting a session with a command. This matters when switching between Sonnet and Opus — it's easy to forget to switch back and incur unexpected usage costs.

Proposed Solution

Display the currently active model name somewhere passively visible in the VS Code extension panel — for example, in the panel header, the prompt box footer, or next to the session title — so users can confirm the active model at a glance without typing a command.

Alternative Solutions

_No response_

Priority

Critical - Blocking my work

Feature Category

CLI commands and flags

Use Case Example

When working in the "Claude Code for VS Code" extension in VS Code I would like to be able to see what model is in use at all times.

Additional Context

Related issues

#57742 (per-session model selection request)