Add session archiving to the resume picker (#37369)

## What changed

- Add a `Ctrl+A` action and footer hint for archiving the selected session in the resume picker.
- Send archive requests through the app server, remove successfully archived sessions from the picker, and surface failures inline.
- Prevent duplicate actions while an archive is pending, preserve configured keybindings, and direct users to `/archive` when they select the current session.
- Ignore archive notifications for untracked side threads so they do not appear in agent navigation.

## Testing

- Cover successful, repeated, rejected, and failed archive requests, shortcut conflicts, footer rendering, and untracked-thread notifications.

GitOrigin-RevId: 20ea21c804a9685e46484d67df967859f9be4651

codex-rs/tui/src/app/event_dispatch.rs

@@ -132,6 +132,9 @@ impl App {
                     /*show_all*/ false,
                     /*include_non_interactive*/ false,
                     picker_app_server,
+                    app_server.request_handle(),
+                    self.primary_thread_id
+                        .or(self.current_displayed_thread_id()),
                 )
                 .await?
                 {