How to print/render nested Paragraph values to twig template?
I am also curious about the best way to do this. While I'm still trying to figure out what that is, here is what I've done:

I've enabled the Twig Tweak module, and inside the first paragraph template, I pull in the second paragraph with a selected view mode.

{{ drupal_entity('paragraph', content.field_sidebar_area[0]['#paragraph'].id(), 'MY_CUSTOM_VIEW_MODE') }}


And then in the template for the second paragraph, I can adjust the Twig as I please. Note that the naming convention would be:

paragraph--PARAGRAPH-TYPE--MY-CUSTOM-VIEW-MODE.html.twig.


Best of luck!