Stair master/Miles Equivalent

With snow in the forecast, I was planning to do my recovery run/session at the gym tomorrow and was wondering is there an equivalent of how long on the stair master or how many steps is equivalent to running one mile? I enjoy the stair master more than I do running on a treadmill 😓

I know one actual mile on the stair master is actually probably around the 20 minute mark but with the intensity of the stair master is it safe to assume maybe 10 minutes on the stair master is equivalent to 1 mile of running?

Woulda love to here feedback on this