Fix assistant messages not marked as completed blocking conversation flow
>>> [!note] Migrated issue
<!-- Drupal.org comment -->
<!-- Migrated from issue #3571338. -->
Reported by: [joevagyok](https://www.drupal.org/user/2876343)
>>>
<h3>Problem</h3>
<p>In the playground, assistant messages were not being marked as completed after processing, which prevented the conversation from continuing properly.</p>
<h3>Root Cause</h3>
<p>The message lifecycle was not completing the final status transition for assistant-generated messages.</p>
<h3>Solution</h3>
<p>Ensured assistant messages are properly marked as completed so that the conversation can continue with subsequent user inputs.</p>
<h3>Impact</h3>
<ul>
<li>Conversations now flow naturally without getting stuck</li>
<li>Users can continue interacting after receiving assistant responses</li>
</ul>
issue