Question about sets

Hello everyone! This might sound a bit dumb, but i have a question. I’ve seen a lot of training programs online (some even on TikTok), and they usually list sets and reps like 3x6, 4x10, and so on. What I don’t fully understand is: when they write 2–3 sets, does that mean only working sets with the working weight, not including warm-up sets? Or do they literally just do 2–3 sets straight with the working weight?

For my workouts, I usually perform 3 sets for each exercise: the first set at roughly 80% of my working weight, the second at 100%, and the third as an overload set. I count these as 3 sets overall. Am I misunderstanding how to count sets in program?