Apple-Frangipane Galette

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For the Crust:

1 cup all-purpose flour, plus more for dusting

4 teaspoons granulated sugar

1/2 teaspoon salt

6 tablespoons cold unsalted butter, cut into small pieces

1 large egg, lightly beaten

For the Frangipane:

2/3 cup almond flour

1/4 cup granulated sugar 

1 tablespoon all-purpose flour 

1 tablespoon unsalted butter, at room temperature

1 large egg

1 tablespoon apple brandy (optional)

1 teaspoon pure almond or vanilla extract 

1/2 teaspoon apple pie spice

Pinch of salt

For the Apples:

3 medium apples (such as Golden Delicious)

1 tablespoon packed light brown sugar

1 tablespoon granulated sugar 

1 teaspoon fresh lemon juice

1/4 teaspoon apple pie spice 

1 large egg, lightly beaten

Demerara or other coarse sugar, for sprinkling

1/4 cup apricot preserves

4 teaspoons apple brandy (or water)