Sadly, poor recipe transcription is extremely commonplace at food websites (and not just Food52). A quick Google search points to this recipe elsewhere:
The Food52 recipe is critically missing 2 cups of all-purpose flour.
In the future, I suggest you contact the recipe author directly if you find a discrepancy. This also serves to alert the recipe author to correct his or her errors, wherever he/she posted the recipe.
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http://nourish.by/laurabiscaro/recipes/salted-vanilla-bean-cookies/
The Food52 recipe is critically missing 2 cups of all-purpose flour.
In the future, I suggest you contact the recipe author directly if you find a discrepancy. This also serves to alert the recipe author to correct his or her errors, wherever he/she posted the recipe.
Good luck.