In VS Code, make sure Codex chat sessions set the right timing info and status

What version of the IDE extension are you using?

26.5311.21342

What subscription do you have?

Copilot

Which IDE are you using?

VS Code

What platform is your computer?

_No response_

What issue are you seeing?

We're seeing Codex sessions with incorrect statues VS Code's built-in sessions UI, for example always showing as Completed even when a session is in progress. See https://github.com/microsoft/vscode/issues/281151 for example

What steps can reproduce the bug?

1. Start long codex session in VS Code
2. While it is still running, switch to the VS Code sessions view
3. Press refresh if the session is not showing

🐛 The session is listed as completed instead of being in progress

What is the expected behavior?

_No response_

Additional information

It looks like only startTime is being sent over right now on the session. This should be fixed if you add:

• The other timing fields: https://github.com/microsoft/vscode/blob/6b8b037682d81d6e9a95be9d79b0fda6591e3ed2/src/vscode-dts/vscode.proposed.chatSessionsProvider.d.ts#L258

• Or explicitly set the status on the item: https://github.com/microsoft/vscode/blob/6b8b037682d81d6e9a95be9d79b0fda6591e3ed2/src/vscode-dts/vscode.proposed.chatSessionsProvider.d.ts#L239