If it's like wordle, then everyone gets the same puzzle on a given day. Your description matches what I played today (and is a partial spoiler; one great thing about wordle is that people have been good about not spoiling it). Tomorrow's may be quite different.
Upon solving, I got a popup saying the next puzzle would be available exactly six hours from then. I suspected that meant that puzzles would be released to me on my schedule, and may or may not be unique.