WORST CASE SCENARIO!

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GIRLS we are in a hole in want to hear to opinion. 😭😭😭😭😭😭😭

We are closing on our new home next Wednesday/Thursday. We have to be out of our apartment Thursday and we are getting induced Monday. Dr. said start the medicine to soften the cervix bcs I'm at 0cm idk when petocyn will be started so idk how long inducement will take. Now we will be 2.5 hrs away to where we are closing on our home. Should I call and ask Doctor if we can start this on Sunday? Or what??? I wouldn't mind holding and closing on home if labor took longer but the problem is we have to be out of apt by Thursday. What should I do?????