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1
Crust:
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2
Pulse flour, cheese, salt, and butter in a food processor until mixture resembles coarse meal. Add 1 egg yolk; pulse to combine. Drizzle in 1/4 cup ice water, and pulse until dough just comes together. (If dough is still crumbly, add up to 1/4 cup more water, 1 tablespoon at a time.) Form dough into a disk, and wrap in plastic. Refrigerate or freeze until firm, about 30 minutes.
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Filling:
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4
Heat 1 tablespoon oil in a skillet over medium. Add shallot; cook, stirring occasionally, until softened, about 3 minutes. Add zucchini; cook, stirring occasionally, until light golden and liquid has been released, about 5 minutes. Transfer to a large bowl.
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5
Halve one-third of the tomatoes. Stir halved and whole tomatoes, both cheeses, basil, and flour into shallot-zucchini mixture. Season with salt and pepper.
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6
On a lightly floured surface, roll out dough to a 13-inch round, about 1/4 inch thick. Make seven 3-inch-long cuts around edge of dough, evenly spaced. Transfer to a 9-inch pie plate. Drizzle shell with remaining tablespoon oil. Transfer filling to shell. Fold in flaps of dough, slightly overlapping. Refrigerate until dough is firm, about 30 minutes.
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7
Preheat oven to 375u00b0F. Whisk cream and remaining egg yolk in a small bowl, and brush over crust. Bake pie on a parchment-lined rimmed baking sheet until crust is golden brown and juices are bubbling, 70 to 80 minutes. Transfer to a wire rack to cool slightly. Serve warm.