Split vanilla bean lengthwise with a paring knife and scrape out seeds with the flat of the blade; reserve empty pod for cajeta or another use. Combine vanilla seeds with flour, tapioca starch, powdered sugar, salt, baking powder, and butter in the bowl of a food processor. Pulse to form a fine and sandy meal, then add egg yolks and continue processing until the dough balls up around the blade. Divide in half and proceed to step 2, or wrap tightly in plastic and refrigerate up to 1 week.
Adjust oven rack to middle position and preheat to 350°F (180°C). Turn a portion of dough onto a powdered sugar–dusted surface and dust more powdered sugar on top. Roll dough until roughly 6 inches across, then dust with powdered sugar, flip upside down, and dust again. Continue rolling until dough is just shy of 1/4 inch thick. Slide a thin offset spatula under dough to loosen any places that might have stuck and cut dough into 2-inch rounds. Arrange cutouts on a parchment-lined aluminum half-sheet pan, leaving about 1/2 inch between cookies. Gather the scraps, briefly knead, and re-roll and cut as before. Repeat with remaining dough, for a total of 50 pieces. Bake until just beginning to brown around the edges, about 15 minutes, and cool to room temperature directly on sheet pan.
