How to move field to "Context fields" section via REST API?

Hi everyone,

Is it possible to move a field on the screen to the “Context fields” section, as shown below, using the REST API?

From what I understand, the entity responsible for this is the “screen”. Here’s what I observe in browser requests when I manually change the order by drag-and-drop: the “items” array represents the order in which fields appear on the screen.

The Update screen endpoint allows changing the name and description of the screen only.

Is there any way to achieve this via the REST API?

Thanks in advance!