Sift together the almond flour, powdered sugar, and salt through a fine-mesh sieve, discarding the pieces left in the sieve.
Add the egg whites to a large bowl. Use a handheld electric mixer to beat until frothy. While still beating, add the granulated sugar a little at a time. Continue beating until the egg whites reach stiff peaks.
Beat the vanilla extract and vanilla bean paste into the egg whites.
Use a rubber spatula to gently fold 1/3 of the almond flour mixture at a time into the egg whites. Be careful not to over-mix.
Line 2 large baking trays with parchment paper or Silpat liners. Fit a piping bag with a round tip, and transfer the batter to the piping bag. Pipe the batter into 3/4-inch circles about 1 inch apart.
Tap the trays firmly against the countertop a few times to release any air bubbles.
Let the piped cookies sit at room temperature until they form a skin and feel dry on top, about 30 to 60 minutes.
Preheat the oven to 300F.
Bake the trays one at a time until the macarons develop a puffed “foot” on the bottom and are light golden around the outside, about 10 to 15 minutes.
Let the cookies cool completely before removing them from the baking tray.