In a large bowl, whisk together flour, baking powder, baking soda, and salt. Stir in sourdough discard, Greek yogurt, water, and olive oil until a shaggy dough forms.
Switch to your hands and knead for 2-3 minutes until smooth. The dough should be soft and slightly tacky — add a tiny dusting of flour if too sticky.
Divide dough into 8 equal pieces, shape into discs, cover with a towel, and rest 10 minutes.
Heat a cast-iron skillet or griddle over high heat until very hot. Roll each disc to 1/4-inch thick and place in the dry pan.
Cook 1-2 minutes until bubbles form on the surface, then flip and cook another 1-2 minutes until puffed with golden charred spots. Immediately brush with melted butter. Stack and keep warm under foil while finishing the rest.