Preheat the oven to 400 degrees F.
In the bowl of an electric mixer fitted with a paddle attachment, combine 4 cups of flour, 2 tablespoons sugar, baking powder, and salt. Blend in the cold butter at the lowest speed and mix until the butter is in pea-sized pieces. Combine the eggs and heavy cream and quickly add them to the flour and butter mixture. Combine until just blended. Toss the strawberries with 1 tablespoon of flour, add them to the dough, and mix quickly. The dough may be a bit sticky.
Dump the dough out onto a well-floured surface and be sure it is well combined. Flour your hands and a rolling pin and roll the dough 3/4-inch thick. You should see lumps of butter in the dough. Cut into squares with a 4-inch plain or fluted cutter, and then cut them in half diagonally to make triangles. Place on a baking sheet lined with parchment paper.
Brush the tops with egg wash. Sprinkle with sugar and bake for 20 to 25 minutes, until the outsides are crisp and the insides are fully baked.
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