Anyone experience this??

Went in to my 37w appointment today, and during the cervical exam was told my Ob couldn’t strip my membranes because there’s nothing there to strip. I’ve been losing my mucous plug consistently for the past 4 days, having cramping and contractions here and there that Tylenol and showers don’t even touch, and her head is engaged. Anyone else experience this and how long until you went into labor? Ob doesn’t think I’ll make it through the week🤞🏼I know every pregnancy is different, I’m just super anxious to meet our 3rd little girl🖤 (My previous pregnancies were induced for medical reasons so I’ve never experienced going into labor naturally.)