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1
Process 3 cups flour, salt, and sugar in food processor for 30 seconds to combine. Add the butter and coconut oil, and pulse several times then process for 15 to 20 seconds, until the mixture starts clump together, and there is no visibly dry flour. Scrape the sides of the work bowl, and spread the dough evenly. Add the remaining flour and pulse until well mixed, about 6 to 8 pulses.
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2
Transfer the mixture to a medium bowl. Combine the vodka and water, then drizzle over the dough. Use a spatula to mix the dough together. It should be a fairly wet dough. Once the dough sticks together, divide it into 2 unequal portions, the larger using about 60% of the dough. Form each piece of dough into a rectangle about 3/4-inch thick. Wrap each piece in plastic wrap and refrigerate at least an hour.
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3
Preheat oven to 375u00b0 F with a rack near the center.
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4
Roll the larger piece of dough out into an 18- by 13-inch rectangle (easiest between two pieces of plastic wrap, flour the bottom piece then the dough), then transfer to a jelly roll pan (15- by 10-inch), gently pressing the dough into the sides of the pan, and allowing an equal overhang on each edge. Refrigerate while making the filling.
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5
Combine sugar, kosher salt, lavender, verbena, cornstarch, and all spice in a food processor. Process until the verbena and lavender have been pulverized. Add the kiwi and lemon juice, and process until homogenous. Transfer to a medium-large bowl, and add the blueberries and apricots. Stir to combine.
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6
Pour the fruit mixture into the pie-crust covered pan, and distribute evenly. Scrape any residual sugar mixture onto the fruit filling. Refrigerate while rolling out the top crust.
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7
Roll the remaining dough into a rectangle about 15 1/2- by 10 1/2- inches (so it fits over the filling of the pie, but doesn't rest atop the bottom crust's overhang. If desired cut vents into the top crust using small cutters, otherwise prick holes in the crust with a fork after the pie is assembled and before it's brushed with half-and-half. Cover the filling with the top crust, trimming excess with a kitchen shears if needed. Use the kitchen shears to remove a triangular shaped piece of the bottom crust from each corner. Brush the edges of the top crust with water, then fold the bottom crust over the top crust. Brush the surface of the pie with half-and-half, then sprinkle with granulated sugar.
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8
Bake until the crust is golden and the filling is bubbling, about 50 minutes rotating the pie about halfway through baking. Transfer pie to a wire rack to cool. Allow to cool 45 or more minutes before slicing and serving.
