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Soak the currants in warm water for 10 minutes while you mix the dough.
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In the bowl of a stand mixer fitted with the paddle attachment, combine the cornstarch, tapioca starch, brown rice flour, millet flour, white sugar, instant yeast, xanthan gum, salt, and cardamom. Mix together on low speed until well combined. Add the milk, eggs, vanilla, and orange zest and mix on high speed for 3 minutes to aerate the dough. The dough will appear glossy and pale at this stage and will give the resulting buns a light, airy texture. With the machine running on low speed add the soft butter, one piece at a time, until all the butter has been added. Drain the water from the currants and add them to the dough. Turn the machine on high and mix for another 3 minutes to emulsify. The dough should be shiny and sticky.
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Transfer the dough to an oiled bowl and cover the bowl with plastic. Allow to proof at room temperature for about 2 hours. Once the dough has finished its bulk proofing, and doubled in size, shape it into rolls.
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If using ring molds, place them on a parchment-lined baking sheet and spray each mold thoroughly with cooking spray. If using a 9 x 13-inch (23 cm by 33 cm) pan, spray the pan thor-oughly with cooking spray.
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Using wet hands, pick up an orange-sized ball of dough, about ⅓ cup, and toss the ball back and forth between your hands, like you’re making a snowball or using a similarly light touch as when shaping a hamburger patty. When formed into a nearly round shape, place the ball of dough into a mold or the baking pan. Proceed until all the dough has been formed. Spray the top of the dough with cooking spray and cover with plastic wrap. Refrigerate overnight to finish proofing.
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The next morning, preheat the oven to 325°F (165°C) . Make an egg wash by whisking together egg yolk and 1 tablespoon of water. Brush the top of the buns with egg wash. Bake for 20–25 minutes, rotating the pan halfway through baking. The buns are done when the tops are light golden brown. Cool in the pan completely before unmolding.
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When the buns are completely cool, mix the glaze. Whisk together the powdered sugar and orange juice until smooth and shiny. Depending on how juicy your orange is, you might not use all the juice. Or, if you find your glaze is too dry, add some water, 1 teaspoon at a time, until the glaze is smooth and thick and no lumps remain. Pipe or spoon the glaze over the buns to form the distinctive cross design. Allow the glaze to set at room temperature before serving.