Put the chilies in a small saucepan, add the water, bring to a boil and cook for 5 minutes until the chilies are soft. Drain and reserve the cooking water.
Put the chilies in a blender along with 1/2 cup of the reserved cooking water and blend until smooth, about 20 seconds.
Combine the flour, salt, oil and blended chilies in a large bowl and mix well until a rough dough forms. Transfer the dough to a floured surface and knead until smooth, about 10 minutes. Return the dough to the bowl, cover, and let sit for 20 minutes.
Divide the dough into 8 pieces, which can be easily done if you divide into 2, then each half other into 2 more, and then again into 2 more, which will give you 8 evenly divided pieces. Roll into small balls.
You can either grill the pita or make them in a cast iron pan on your stovetop. Once the grill or grill pan is heated, to medium heat, roll out the dough balls to 1/8 inch thick and place them on the grill or in the pan. Once you see bubbles on the dough at about 1 minute, go ahead and flip the pita and cook on the opposite side for 1 minute more. Transfer to a plate and cover with foil to keep warm. Go ahead and toss the pita in the microwave for 15-20 seconds before assembling the sandwich.