system
A chat on subreddit /r/me_irl
human
There's a calendar already proposed for this. That extra day would be Year Day.
gpt
I propose a variation-

8 day week; 5 works days, 3-day weekend

4 weeks; 32 days per month

11 regular months; 352 days

Remaining 13.25 days is global winter / Xmas break