When does labor “technically” start?

Is it when your water breaks and have strong, active contractions or when you’re induced?

I was induced Wednesday afternoon at 4:00 and Thursday and Friday I was on the monitor and it was showing contractions 3-5 min apart but I didn’t feel any of them.

Saturday morning at 3:22a my water broke and my contractions were then noticeable and painful (1-2 min apart)

I started pushing at 8:02a and at 8:53a my baby was born (pushed for 51 min)

I’m just trying to figure out how “long” I was in labor for