Frischer Frucht-Frangipane-Kuchen

Heizen Sie den Backofen auf 400 Grad Fahrenheit (200 Grad Celsius) vor.

Place 1 piece of puff pastry on a baking sheet lined with a silicone mat or parchment paper. Lightly moisten one of the short edges with water. Connect the end of other puff pastry to the moistened edge. Press pieces together to form a long rectangle, trimming off loose ends with a dough scraper as needed.

Cut third puff pastry piece lengthwise into 1-inch strips. Moisten the outer edges of the long rectangle with your finger; stick pastry strips on top. Poke shallow holes all over bottom of dough using a fork. Do not prick the raised border.

Bake pastry shell in the preheated oven until it starts to turn golden brown, about 15 minutes. Remove from oven. Reduce oven temperature to 375 degrees F (190 degrees C). Readjust the borders and push the bottom down with the flat side of a fork. Let cool completely while preparing filling.

Place butter and 1/3 cup plus 1 tablespoon sugar in a bowl; smear together using a spatula until combined. Whisk in egg until mixture is creamy. Add almond flour, salt, vanilla extract, and almond extract. Mix thoroughly. Cut each pluot into 6 wedges. Fill pastry shell with almond paste. Stick pluots snugly, but not too deeply, into filling.

Bake in the preheated oven until browned and almond filling is set, 30 to 40 minutes. Transfer tart onto a wire rack and let cool completely, at least 40 minutes.

Combine apricot jam and water in a microwave-safe bowl. Bring to a boil in the microwave. Let cool until warm. Brush glaze over cooled tart.