Classic Apple Pie with Lemon Cream Filling

2 1/2 cups all-purpose flour
1 teaspoon salt
1 tablespoon sugar
1 cup unsalted butter, cold and cut into cubes
6-8 tablespoons ice water
For the Apple Filling:

6-7 medium apples (Granny Smith, Honeycrisp, or a mix)
1/2 cup granulated sugar
1/4 cup brown sugar
1 tablespoon lemon juice
2 teaspoons ground cinnamon
1/4 teaspoon ground nutmeg
2 tablespoons all-purpose flour
1 tablespoon unsalted butter, cubed
For the Lemon Cream Filling:

1 cup heavy cream
1/2 cup powdered sugar
1 tablespoon lemon zest
2 tablespoons fresh lemon juice
1/2 teaspoon vanilla extract

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