Induction Date Set!! 😁

Well I am 39.4 weeks today. I really thought my baby girl would have come by now because I have had BH since about 25 weeks and I have been losing my mucus plug for about a month now, but she's not ready 😔 I have been checked three times in the past two weeks and I'm very high and closed. At my appointment today my doctor told me they will induce on the  20th which a week after my due date. I know it's not really that far away but I feel so hopeless now. I'm so uncomfortable and I barely sleep. Anyone else in the same boat?