Crust:
1½ cups all-purpose flour, plus more for dusting
1 tablespoon plus 2 teaspoons sugar
½ teaspoon kosher salt
8 tablespoons (1 stick) unsalted butter, cold and cubed
¼ to ½ cup ice water
1 egg, beaten
1 tablespoon water
½ cup blanched slivered almonds
Filling:
8 tablespoons unsalted butter, at room temperature
1 cup almond meal
⅔ cup plus 1 tablespoon sugar
1 large egg, at room temperature
2 tablespoons all-purpose flour
2 teaspoons vanilla extract
½ teaspoon kosher salt
3 apricots, cut into eighths