Sending custom data with Media Frame Model

I have an option on post edit screen that can change it to full-width. Unfortunately, $content_width still follows the standard one with sidebar 780px (without saving the post or a whole refresh).

I have figured out the method responsible for getting this data. It’s action method in js/media-models:

Anyone knows how to pass custom post data here (layout=full) with this AJAX request? (I will filter on that AJAX request to set $content_width=1170).

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