makes one 9- by 13-inch sheet pan tart; adapted from Dorie Greenspan, Around My French Table
Whisk together the almond flour and sugar. Stir in the egg, vanilla extract, and pinch of salt then combine the cream. Cover with plastic wrap pressed against the surface and set aside. You can make this in advance and refrigerate, but it is easiest to spread on the filo when it is soft and at room temperature.
Mix together the sugar and spices for sprinkling between each layer of filo.
Preheat oven to 350°F. Line a 13- by 9-inch sheet pan with a Silpat or parchment. Melt the butter.
Slice planks from around the core of each apple then cut each into thin slices, about 14 per half, keeping the slices together.
One by one, layer the filo, brush with melted butter, and sprinkle with a bit of the sugar. On the top layer, spread the almond cream to about 1-inch of the edge. Arrange the apples on top of the almond cream, placing them in three long rows down the length of the tart. Bake for 30–35 minutes until tart begins to brown, filling is set, and apples are tender.
Brush glaze over the tart. Serve warm or at room temperature.