Good luck !! Your baby might come before, that's what happened with my son! I was scheduled for an induction because I was 42 weeks and he decided to come the day before the induction lol! Apparently my children just like to be stubborn because I'll be 40 weeks tomorrow with my princess and have been 3cm and 90% effaced for two weeks lol
Chances are it will! And induction at close to 42 weeks may work easier for you anyway as your body would be close. Induction at that stage can just be like a little kick start and your body does the rest.
Also you could still refuse and get checked for fluid levels and placenta quality... And if everything was ok, you're h could put off induction for another few days - my midwife was just telling me about a client who has given birth at 42 and a half weeks for all her births - some people just normally carry to a longer term...
Anyways thoughts and prayers your way :) you will do great