By my last menstrual period I'm 41 weeks, but by the first screening I…

By my last menstrual period I'm 41 weeks, but by the first screening I'm 42 (41 weeks 3 days). The doctor gave a referral to the perinatal center (to be hospitalized). Do they induce labor right away? Or will I have to stay for some time, and then if labor doesn't start they'll induce? And in the perinatal center will they calculate my gestational age by LMP or by the first screening? My doctor is going by the first screening.