This Lion's Ear is listed as a Half Hardy Annual. Original seed purchased through T & M. This variety is listed at 6 to10 ft, but I believe mine topped the 10' mark. L. nepetifolia var. nepetifolia 'Staircase'.
A shorter perennial version is sometimes listed in Logees as L. leonurus. (more flowerful, only 3 to 3.5 ft high).
Both are fall bloomers (in my experience).
Thanks.