[macOS Desktop] Composer text remains after Send / Steer instead of clearing after recent update

What issue are you seeing?

After the recent Codex Desktop update, the composer/input box does not reliably clear after submitting text.

When I:

• send a normal prompt, or
• use Steer while a task is running,

the submitted text can remain visible inside the text box instead of being cleared.

This makes the UI ambiguous because it is difficult to tell whether the text was successfully submitted, is still pending in the composer, or needs to be sent again. It can also lead to accidental duplicate submissions or editing text that has already been sent.

The issue appeared after the recent update and persists after restarting Codex multiple times.

Steps to reproduce

1. Open Codex Desktop on macOS.
2. Open an existing project/thread.
3. Enter text in the composer.
4. Send the message, or use Steer while Codex is working.
5. Observe that the submitted text can remain in the composer instead of being cleared.
6. Repeat with additional prompts/Steer messages; the behavior recurs.

Actual behavior

Submitted text remains visible in the input box after Send / Steer.

Expected behavior

Once Codex accepts a Send or Steer action, the composer should immediately clear the submitted text. If submission fails, the UI should clearly indicate failure and preserve the draft intentionally rather than leaving the composer in an ambiguous state.

Additional context

• The problem started after the recent Codex Desktop update.
• Multiple full app restarts have not resolved it.
• The same user is also experiencing frequent timeout / reconnect behavior after the update; an independent reproduction has been added to #37660. The composer-clearing problem is reported separately because it is a distinct UI/state issue.
• Exact Codex Desktop build number can be added if needed.

Start by reproducing the behavior in Codex Desktop on macOS using both Send and Steer, including repeated submissions. Trace the composer handling for those actions; done means accepted text clears immediately, while failed submission preserves the draft with a clear failure indication.