3.1kg is not say super big for week 37. Assuming baby puts on another 2kg until week 39, 3.3kg that’s still manageable to be delivered naturally depending on your size. If I were you I would rather be induced, but there is a chance of a failed induction if your cervix refuses to cooperate and that can lead to emergency c sect. But still worth a shot in trying to deliver naturally if that is what you want.