1. Crust: Pulse flour, salt, and sugar in a food processor to combine. Add butter and pulse until pea-size clumps form. Whisk together vinegar and 2 tablespoons ice water in a small bowl. Drizzle over flour mixture; pulse until mixture just begins to hold together when pinched. (If too dry, drizzle with more water, 1 tablespoon at a time, and pulse a few more times.) Transfer dough to a piece of plastic wrap, cover, and press into a disk. Refrigerate until firm, at least 30 minutes and up to 1 day.

2. Roll out dough to a 13-inch round on a lightly floured work surface. Press into bottom and up sides of a 9-inch springform pan. Trim dough flush with rim, using excess to patch any cracks or holes in crust. Refrigerate until firm, at least 30 minutes and up to 1 day.

3. Filling: Meanwhile, bring apples, cider, brown sugar, cinnamon, and salt to a boil in a large saucepan. Cover, reduce heat to medium, and boil, stirring occasionally, until apples are tender, 12 to 15 minutes. Stir in cranberries and boil, uncovered, just until cranberries begin to burst, 3 to 4 minutes.

4. Drain, reserving liquid. Transfer apple mixture to a bowl; discard cinnamon stick. Return liquid to pan; boil until reduced to 2/3 cup, 8 to 10 minutes. Toss with apple mixture. Let cool completely, then stir in flour and granulated sugar.

5. Crumb topping: Combine flour, oats, brown sugar, and salt in a medium bowl. Massage butter into flour mixture with your fingers until mixture clumps together and no dry flour remains. Press into bottom of bowl and refrigerate until firm, about 20 minutes.

6. Preheat oven to 375 degrees. Place piecrust on a foil-lined rimmed baking sheet. Pour filling into crust. Break up topping into large pieces and sprinkle over filling. Bake until bubbly and crust is golden brown, 1 hour to 1 hour, 15 minutes. (If crust is browning too quickly, tent with foil.) Let cool completely on a wire rack before removing sides of pan; serve.