We found a way to bypass the recurring login pop-up.

We’ve found a way to bypass the recurring login pop-up in the Google Docs editor by using an incognito browser window or clearing cookies. This bypass is possible because Google has not yet implemented the same login mechanism in the incognito browser window, allowing you to use Google Docs without having to log in repeatedly. This temporary solution should help mitigate the issue until a more permanent fix is introduced.