Keeping track of how the player has died?

I'll get right to the point. My game has an achievement for dying in every possible way (of which there are 11). I tried using (set:$deaths to +1) on death screens, but that allows the player to repeatedly die in the same way and get the achievement. So, my question is "How can I count how many times the player has died in different ways, and not just deaths in general?"

I am currently using Harlowe.