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Preheat oven to 350 degrees F.
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Spread the walnuts on a cookie sheet and bake for 4 minutes then toss the nuts around and bake for another 3 or 4 minutes. Let the nuts cool completely before grinding them up in a food processor along with the 1/4 cup sugar. Grind the nuts fine but not too fine. They should not be powdery. Remove and set aside.
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To the food processor add the citing sugar, baking powder and flour.
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Pulse the dry ingredients together.
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Pulse in the butter until well combined.
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Finally add the nut mixture and pulse that in several times to combine thoroughly.
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Add the egg yolk, vanilla extract and water that have been whisked together. Mix together until a soft dough forms.
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Wrap dough and chill for at least one hour. Roll out to a little less than a 1/4 of an inch thick. Cut out with a 2 1/2 inch cookie cutter.
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Bake at 350 degrees f for 11-12 minutes or until the edges just start to brown. Cool completely on a wire rack.