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Preheat the oven to 375°F. Grease a standard-sized doughnut pan.
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Whisk together the flour, maple sugar, potato flour, baking powder, and salt.
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In a separate bowl, beat the egg, water, oil, and maple flavor until frothy.
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Add the dry ingredients to the egg mixture, stirring until well combined.
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Fill each doughnut form about half full; a piping bag works well here.
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Bake the doughnuts for 12 to 14 minutes, until they spring back when lightly touched and are golden brown on the edges.
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Remove the doughnuts from the oven and allow them to cool for a few minutes in the pan before transferring them to a rack to cool completely.
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While the doughnuts cool, make the glaze. Whisk together the maple sugar, confectioners' sugar, heavy cream, and maple flavor.
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Microwave the glaze on high for 15 seconds, until the maple sugar dissolves fully.
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Dip the tops of the still warm doughnuts in the glaze. Allow to cool completely before storing.
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Sprinkle crushed walnuts over the freshly glazed doughnuts, if desired.