"The vehicle climbed for approximately 10 seconds, reaching a height of roughly 85 m (279 ft) before starting to descend, and making a controlled landing back on its landing legs approximately 25 seconds after take-off." [1]

It did two other flights, but nobody seems to know how far up those went.

New Shepard has undergone 15 test flights to around 100km (suborbital), so that's something I guess.

1: https://en.wikipedia.org/wiki/Blue_Origin_Goddard