Add all-purpose flour, granulated sugar and kosher salt to medium mixing bowl. Whisk to combine.
Using a pastry blender, cut in the cold butter for several minutes until mixture resembles crumbs in texture.
Add egg to small bowl. Whisk briefly. Add half and half to beaten egg. Whisk to combine. Add egg mixture to dough. Stir to combine.
Press the dough into a rectangle, and let rest for 30 minutes before rolling out. Alternately, you can wrap the dough in plastic and refrigerate up to 3 days. Bring the dough to room temperature before rolling out.
Divide the dough in half. On a well-floured flat surface, roll out the dough to 1/8-inch thickness. Lightly flour the rolling pin, if necessary. Move the dough every so often, lightly flouring the surface of the dough and board. Flipping the dough over will also help to ensure its not sticking to the board.
For these blueberry pop tarts, I went with a 4 x 3-inch rectangle shape.
Cut your sheets of dough into square, rectangle or circular shapes. Using a spatula, or a bench scraper, transfer the dough shapes to a parchment lined sheet tray. Roll out the second piece of dough and cut into matching pieces.