Decreased fetal movement

I woke up out of a dead sleep because I felt like something wasn’t right. My belly was hard as a rock and my baby wasn’t moving. She usually kicks like crazy, she is very active. After poking her and shaking my belly for a little while she finally moved, a little. I had an appt the next morning and when I got there they did a NST right away. And her heart rate was perfect, but I’m having strong, regular contractions (early labor). He said that she’s not moving very much because we’re in early labor. I barely feel her anymore and I’m worried about her 24/7. I’m getting induced Friday but I don’t know... do babies really slow down so much right before labor?