Worried. Baby is larger than normal despite me trying hard to control my diet

Im not overweight, no GD, no preeclampsia. At 26 weeks, my baby was 1kg. 31 weeks baby was 2kg (1kg in 5 weeks), larger than average at 75 percentile. Doctor says baby weight is still considered ok, as long as I still ate healthy and dont over eat should be fine. But the problem is, I was still throwing up like crazy, and ate close to nothing, and I gained no weight from 26 to 31 weeks (at first i was very worried baby will be underweight... how is it that my baby has gained so much instead?). I told the doctor this, and he said the baby will take whatever he needs from me (no matter whether I ate or not? - so i was thinking omg if i were able to eat more will my baby be even larger?! 😩). Last I checked at 35 weeks, baby is already 3kg. Still ate as per normal, but this time less throwing up. Been eating quite healthily, like salads, cooked sushi, fish soup, YTF etc, less carbs, less fried, less oily less sweet stuff and sometimes i only ate 2 tiny meals a day but baby still grew quite a bit (1kg in 4 weeks)! It has been a little more than a week now after my last checkup and I feel my tummy seemed to have increase in size quite a lot. (More than usual). Could be more amniotic fluid, also could be my baby grew v fast again. I am worried. At this pace, baby might exceed 3.5kg or possibly 4kg when I give birth. 😩 And I believe I am quite petite, so I am afraid it may be v difficult for me. (Currently 154, 50kg at 36+ weeks). Doctor adviced me to do some pelvic exercises to stretch my pelvis. He says since I am quite petite, he says he wouldnt wait too long for the birth and he will look at inducing if there's still no sign of labour at 38 weeks as it would harder for me if the baby grows too large (tho im afraid baby may already be v large at 38 weeks). But I have heard that inducing can be very long and also painful, and if it fails and baby is distressed, still need to have emergency c section too... Feeling very worried.