Mix flour, 2 tablespoons sugar, and salt together with an electric mixer until combined. Mix in butter until mixture resembles coarse crumbs. Add water, 2 teaspoons at a time with the mixer running until dough begins to holds together. Test dough by pinching a small amount between fingers; if crumbly, add 1 teaspoon more water at a time.

Wrap dough in plastic wrap; chill until slightly firm, 20 to 30 minutes.

Preheat the oven to 350 degrees F (175 degrees C).

Place apples in a large bowl; toss with juice of 1/2 lemon to prevent browning.

Place a large piece of parchment paper on a work surface. Roll dough into a 12-to-16-inch round, about 1/4- to 1/2-inch thick. Arrange apple slices evenly on dough, leaving a 1 1/2- to 2-inch border. Fold border up to partially cover apples, pleating edges as you go.

Combine 1/2 cup sugar and cinnamon in a small bowl; sprinkle over apples. Squeeze remaining 1/2 lemon over apples; sprinkle 2 teaspoons sugar over crust. Transfer parchment paper to a baking sheet.

Bake in the preheated oven until crust is golden brown, 50 to 60 minutes.