Add the water, sugar, and yeast to the bowl of a stand mixer, and add one cup/120g of the flour and whisk. Let sit for about 10 min until bubbly. Add the olive oil and salt the remainder of flour, and mix/knead with a dough hook for 10 minutes. Remove and place in an oiled bowl, cover with cling film and let rise in a warm place for one hour. Punch down and let rise another hour. Remove dough from bowl onto a lightly floured surface. Cut and form 8 balls of dough and cover with a towel and let rest for 30 minutes. Roll each ball into a flat round shape, keeping covered with a clean towel. Rest for 10-30 minutes. Preheat a cast iron skillet over medium heat. Cook each pita 1-2 minutes on each side. If you have a gas stove, place the pita directly on the flame briefly to char and puff up. Remove pita and store under a clean towel while cooking the remainder.