41 weeks and not dilated 😣

Heather
I'm a first time mom, currently 41 weeks, and think I may be preganant forever. Had a checkup this morning and I'm not dilated at all but did have a pinkish bloody discharge this morning when I got up. Had some disorganized cramping for about 3 hours yesterday but it totally went away. Due date was 6/23 and induction is scheduled for 7/7 but really hoping I don't have another week to go still. Is it possible to go into labor soon if I'm not dilated? How long after bloody show could labor start? I'm looking for signs... I've been so patient up until now! Any birth stories from experienced overdue moms will help!!