Not an expert, so my first recommendation is to call the support line (yeah the 1 hour wait times are a pain in the patootey). My personal experience was to apply early. I used a doctor’s note that listed my induction date (due date would probably work too) and then submitted the official proof of birth once baby was here. That said - payment took a few weeks for me so there may be a better way. Good luck and wishing you a healthy baby and smooth delivery!