I'm not able to download FB private group videos.
The prompt to log into FB pops up again and again, no matter how many times I enter the login credentials.
I have tried accepting browser via FP app when the 2F was turned on (and the browser "Chrome on Windows" now shows up 6 times on my FB "Authorized Logins" list - I could imagine that faking the browser agent to "Windows" on Mac might be the culprit) - same issue.
Then I tried creating a specific APP password - same issue.
Then I turned off 2F - same issue.
If you could simply throw up a FB browser login prompt, that would most likely fix it - or allowing entering & using the login cookie (same way that JDownloader allows downloading private FB videos).
Could you please generate and provide us with a clean log file to review?