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Place the dough round between 2 sheets of parchment paper and roll into a 13-inch round (about a 1/4-inch thickness), flouring the round lightly as needed to keep the dough from sticking. Remove the top sheet of parchment. Use the rim of a small round bowl to make 6 individual crostatas. Cut around the edge of the bowl, in the dough, with a sharp knife. Slide a pizza peel or rimless baking sheet under the bottom sheet of parchment, and remove excess dough from crostatas.
To make the filling, combine the apples, sugar, flour, and cinnamon in a bowl and toss well. Add cranberry sauce and salt and toss again, briefly. Paint the edges of the crostatas with egg yolk wash. Fill the center of the dough rounds with the apples (about 1/2 cup each) in an even layer, leaving a border of about 1 1/2 inches. Fold the border up and over the apples to make a rim. Brush the rim with egg wash, then sprinkle with coarse sugar. Trim the excess parchment with scissors, and press sides together.
Use the pizza peel or baking sheet to transfer the crostatas, still with parchment underneath, to the oven, sliding it, with the paper, directly onto the pizza stone. Bake until the crust is nicely browned and the apples are bubbling, about 40 minutes. Remove from the oven with the peel or baking sheet and let cool on a rack for 15 minutes before serving. Serve warm. Note: This can be made hours ahead and reheated before serving.
Michael's Notes: Every region has its own best baking apples. Be sure to talk to your green grocer to find out what's best near you!