Bummer! Sorry to hear this! I cut one of my best strops once. Fortunately it was at the top of the stroke.
I rubber cemented and sanded a bit. Not so bad and I still use it.
Very irritating to see the scar years later. I realized that all my misses and near misses were at the top, so I concentrate on the top as I strop.
The bottom seems automatic for me.
Sometimes we need to slow down I figure. .