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Mix the egg yolk with 1 teaspoon of water.
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Preheat oven to 350 degrees.
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Line 2 cookie sheets with parchment paper.
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Prepare sesame seeds.
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Reserve 1/4 cup to garnish cookies, coarsely grind remaining seeds.
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Combine ground sesame seeds, sifted flour, baking powder and baking soda in a bowl.
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In a mixing bowl, cream shortening and sugar until fluffy.
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Add eggs one at a time and beat until smooth after each addition.
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Add vanilla and stir to combine.
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Add dry ingredients to creamed mixture a little at a time and mix until well combined.
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Dough will be moist and pull away from sides of the bowl.
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Dust a work surface with about 1/4 cup flour.
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Knead the dough to form a smooth ball.
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To shape each cookie, roll 1 tablespoon of dough into a ball.
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Press lightly with palm of your hand on cookie sheet.
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Place cookies 3 inches apart on cookie sheets; freeze for 20 minutes.
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Brush cookies with egg wash.
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Press reserved sesame seeds into dough.
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Bake for 15 - 20 minutes or until lightly browned.
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Remove and allow to cool.
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Store in airtight cookie tin for up to 2 weeks.