Show subagent model/type tooltip when hovering agent pills in the IDE extension (QoL Feature)

What variant of Codex are you using?

VSCode IDE Extension

What feature would you like to see?

When a sub-agent is first created in the VS Code IDE extension (Image 1), hovering over it shows the model it is using (for example, Uses GPT-5.6 Luna). (Image 2)

However, once that same agent appears in the conversation as an agent pill — e.g. Pasteur (see image) — hovering over the pill does not show the same information. (Image 3)

It would be useful if agent pills reused the existing hover/tooltip behavior so that hovering over an agent name shows its model/type.

This would make it much easier to keep track of which model each agent is using, especially when several agents are active in the same conversation.

Image 1: Fresh agent created

Image 2: Hovering over agent name in creation UI shows the agent model

Image 3: Hovering over the agent pill doesnt behave the same

Additional information

This is mainly a small UX consistency/QoL improvement. The information already appears to be available when the agent is initially created, so ideally the same tooltip could also be exposed on subsequent agent pills.

Expected behavior:

Hover over an agent pill such as Pasteur
Tooltip appears with something like Uses GPT-5.6 Luna

Current behavior:

The tooltip is available around agent creation
The later agent pill itself has no equivalent hover information

I’ve attached screenshots showing the agent pill and the existing model tooltip behavior for reference.

Start in the VS Code IDE extension by tracing the existing tooltip shown during sub-agent creation and the rendering path for agent pills. Reuse the relevant hover behavior so hovering a pill such as Pasteur shows its model/type, then verify the tooltip appears for agents in an existing conversation.