Preheat the oven to 425°F.
Whisk the flour, baking powder and salt together in a medium-size bowl.
Cut in the butter or coconut oil with a pastry blender or two knives until the mixture is crumbly.* (see Note)
Stir the sourdough discard into the mixture. With your hand, incorporate any flour remaining in the bowl into the dough but avoid over mixing.
Turn the dough out onto a lightly floured work surface and gently pat it into a 1-inch thick rectangle approximately 6 inches by 4 inches. Cut off a thin edge of dough around each side of the rectangle with sharp knife or bench scraper. (Cut edges rise more.) Cut the dough into 6 even squares.
Place the formed biscuits 2 inches apart on an ungreased baking sheet. You may want to place the edge pieces, which bake faster, on a separate cookie sheet. Bake the biscuits for 20 to 22 minutes or until the tops have slightly turned golden. The edge pieces will cook faster, in about 15 minutes.
Serve the biscuits warm. They also freeze well.