Statistically first bubs are more likely to be post-dates than subsequent bubs but that in itself is no reason to induce. As long as you are both doing well don't let anyone push you into an induction. Unless there is some pressing and obvious benefit to either you or baby, it just introduces more risks and makes it more likely you'll have a difficult labour.

The end of pregnancy totally messes with your head but try not to get too hung up on the 31st, and just keep reminding yourself that no one has been pregnant forever and baby WILL come when she's ready to come

Your job in the meantime is to have faith in her, and hold off anyone who wants her to fit into their timetable

Wishing you lots of labour vibes and a baby girl very soon!