send activity traces (actions)

Actions can be generated on:
- focus
- save

If offline, the action is saved in the parent element as a ressource.
If online, the action is sent to the API.

Start by locating the focus and save action handlers in the text input app, then inspect how the parent element stores offline resources and how actions are sent to the API. Implement activity traces for both actions, preserving them in the parent element offline and sending them online; verify both paths according to the app's existing tests or API behavior.

Written by the indexing model from the issue text.