Launch failures count towards number of launches, as long as clamps release. Clearly derivative vehicles in the same family (any sort of New Glenn Full Thrust / Heavy) will count towards this total.

For reference, Falcon 9 launched 96 times in 2023, and the current cadence is ~140 launches / year. New Shepard has launched 1 time in 2023, and is currently on pace to launch 4 times in 2024.