## Summary
- add the `/exit` slash command alongside `/quit` and reuse shared exit
handling
- refactor the chat widget to funnel quit, exit, logout, and shutdown
flows through a common `request_exit` helper
- add focused unit tests that confirm both `/quit` and `/exit` send an
`ExitRequest`
## Testing
- `just fmt`
- `just fix -p codex-tui`
- `cargo test -p codex-tui`
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https://chatgpt.com/codex/tasks/task_i_6903d5a8f47c8321bf180f031f2fa330