If you attempt to switch to a different account after accessing https://docs.new/, that will trigger an "ask for permission to access document" dialog.
Not awesome.
(AFAIK, the only way to fix this is to sign out and then log back in, in the "correct" order.)
(This is on a Windows desktop running Chrome.)
I do understand why you didn't advertise that on the web site.
This problem is a common theme amongst all of the Google properties. (I run into it so much in the GCP console, too.) I would really like an explicit option to select the "default" or "primary" account, in that top-right user dropdown.
I mean, it's neat that you can edit a google doc on your phone, but who actually spends hours authoring that doc, tapping on a software keyboard on 5 inch touch screen?
On chrome desktop, I have separate profiles for work and home so nothing is intermingled.
now i can just do ctrl+t->docs.new->start typing words on a page