Let the frozen puff pastry dough thaw for 15-20 minutes. Unfold it as soon as it is thawed enough to do so and allow it to continue to soften.
Prepare the apples by coring and peeling the apples. Cut them into bite-sized chunks and place in a large bowl. See Tips & Tricks for advice about preparing the apples.
Toss the apples with 1/2 cup of brown sugar and the cinnamon, nutmeg, ground cloves, and a pinch of allspice.
Add the apple mixture to the saucepan and cook over medium high heat stirring regularly with a wooden spoon or heat-resistant spatula. When the sugar melts and begins to bubble/sizzle, lower the setting to medium heat.
Stir 1 tbsp of all purpose flour into the apple mixture, making sure it is fully incorporated.
While the apples cook, preheat the oven to 400 degrees F.
Continue cooking the apple mixture, stirring regularly, until the apples are easily pierced with the tip of a sharp knife, 10-12 minutes.
Remove the apples from the heat and allow to cool while you prepare the pastry dough.
Tear out a sheet of parchment paper about the length of the baking sheet.
Lightly flour the parchment paper and lay the thawed dough in the center.
Lightly flour a rolling pin.
Roll out the dough a bit. In my experience, 9" x 11" works well.
Cut the dough into four equal rectangles using a pizza cutter or a bench scraper. You can eyeball it or measure with a ruler.
Score the dough lightly, 1/2 inch in from the center all around - like you are making a picture frame.
Cover the center part (the area within the scored frame) with some of the fruit filling. You may have some leftovers.
Mix together the egg and 1 tbsp water.
Brush the exposed "frame" of the puff pastry with the egg wash.
Sprinkle sparkling sugar over the egg washed edges. This step is totally optional, but I love the crunch and sparkle. I even sprinkle a tiny bit over the apple filling.
Bake for 20 minutes until the outer edges are puffed up and golden brown.