Roll out the dough on a floured surface to a round sheet about 40 cm (15 ¾ in) in diameter.
Spread the frangipane cream evenly in the center of the dough, leaving a 4-5 cm (1 ½- 2 in) border around the edges.
Halve the apricots and remove the pits.
Arrange the apricot halves, cut side up, on top of the frangipane cream.
Sprinkle a tablespoon of brown sugar over the apricots. Fold the edges of the dough toward the center, partially covering the apricots.
Brush the exposed pastry edges with beaten egg and sprinkle with almond flakes.
Garnish the apricots with a few sprigs of thyme.
Bake the tart in a preheated oven at 180° C for 50-60 minutes, until golden and crisp.
Serve warm or cold, drizzled with honey and dusted with powdered sugar, or with a scoop of vanilla ice cream! Enjoy!