How soon did you go into labor after you lost your mucus plug? I'm 3.5 hours away from home, 36:5…

How soon did you go into labor after you lost your mucus plug? I'm 3.5 hours away from home, 36:5 weeks. Went to the doc yesterday, nothing was happening, everything was measuring on time. But lots of goop today, not having any contractions or anything...Not sure if it's something I should be concerned about or not. First timer here. 😁