Resume/continue not available in VS Code extension

What version of the VS Code extension are you using?

0.5.5

Which IDE are you using?

VS Code

What platform is your computer?

Microsoft Windows NT 10.0.19044.0 x64

What steps can reproduce the bug?

1. Open Codex in the VS Code extension.
2. Start a new session and interact with it.
3. Close VS Code (or reload the window).
4. Try to find a way to resume the last session.

What is the expected behavior?

At least parity with CLI behavior: resume and continue should be available in the extension.

What do you see instead?

In the VS Code extension (local run mode), there is no option to use --resume or --continue.
When closing or reloading VS Code, the previous session is lost and cannot be resumed.
This works fine in the CLI (v0.30.0+) but not in the extension.

Additional information

It looks like the resume/continue functionality has not yet been implemented in the extension.
Just to clarify: this is not a feature request, but a report that local run mode in the extension does not match the CLI behavior.