Chill your mixing bowl and butter cubes in the freezer for 10-15 minutes. Keep sourdough discard cold in the refrigerator.
Combine 1 1/4 cups all-purpose flour and 1/2 teaspoon fine sea salt in the chilled mixing bowl.
Cut cold butter cubes into the flour mixture using a pastry cutter until the butter is broken into irregular, pea-sized pieces.
Add cold sourdough discard and toss with a fork until no dry pockets of flour remain. Add ice water, 1 tablespoon at a time, if needed to bring the dough together.
Turn the shaggy dough onto a floured surface and fold it over itself 4-5 times until it holds together in a cohesive disc with visible butter streaks.
Wrap the dough disc tightly and refrigerate for a minimum of 1 hour, or up to 3 days.
Let the dough sit at room temperature for 5 minutes, then roll into a 12-inch circle about 1/8 inch thick.
Transfer the dough to a 9-inch quiche tin, pressing gently into the corners and up the sides without stretching. Trim excess dough and crimp the edges.
Prick the base all over with a fork and freeze the lined tin for at least 20 minutes.
Preheat oven to 375°F. Line the crust with parchment paper, fill with pie weights, and blind bake for 18-20 minutes. Remove weights and bake for 5-8 more minutes until the base is dry and lightly golden.