Khachapuri (georgian cheese pie)

2 1/2 c  Unbleached All Purpose flour
    3/4 ts Salt
      1 lg Egg
      3 tb Vegetable Oil
    1/2 c  Club Soda; Or More If Needed
           -, At Room Temperature
     12 tb Unsalted (Sweet) butter;
           - 1 1/2 Sticks, Melted

------------------------------RED BEAN FILLING------------------------------

-----------------------------NACHINKA IZ FASOLI-----------------------------
      1 c  Dried Red Beans; Soaked
           -Overnight In Water To Cover
           Salt And Plenty Of Freshly
           -Ground Black Pepper; To
           -Taste
    1/4 c  olive oil
  1 1/4 c  Onions; Finely Chopped
    1/2 c  Cilantro; Finely Chopped
 
  Sift the flour and salt into a large bowl and make a well in the middle.
  Pour in the egg, oil, and club soda and stir into the flour, adding more
  club soda if necessary, ot make a rather soft dough.  Transfer the dough to
  a floured board and knead until smooth and elastic, about 10 minutes. Shape
  the dough into a ball, cover with a linen or cotton (not terry cloth)
  kitchen towel and let stand for 1 hour.  Divide the dough into four parts
  and shape each one into a ball.  Let stand, covered, for 15 minutes.
  Preheat the oven to 350 Degrees F. and butter two large baking sheets.  On
  a floured surface, roll out one of the balls into an 1/8-inch thick square.
  Brush the dough with some of the melted butter  Dip your fingers into the
  melted butter and pull the edges of the dough in different directions,
  stretching it evenly until it is almost transparently thin. Don't worry if
  the dough tears, as you will be folding it up.  With a sharp knife, trim
  the edges of the dough to from an even square.  Fold the square in half,
  brush the surface generously with the melted d fold in half again crosswise
  to from a smaller square.  It should be approximately 6 to 7 inches. It is
  isn't, pull it out slightly to fit the dimensions. Brush the square with
  butter.  Shape one-fourth of the filling into a ball and place in the
  center of the square.  Fold in the corners of the square like an envelope.
  With the palm of your hand, flatten the pie so it is about 1 inch thick.
  Brush the top with melted butter and carefully transfer to a prepared
  baking sheet.  Repeat the procedure with the rest of the dough and filling.
  Bake the pies in the middle of the oven, until golden brown, about 35
  minutes.  Serve warm.
  
  Makes 4 Pies for 8 Servings
  
  RED BEAN FILLING:
  
  Drain the beans and place them in a saucepan along with enough fresh water
  to cover by at least 2-inches.  Bring to a boil and add salt, then reduce
  the heat to medium-low.  Cook the beans, partially covered, until almost
  mushy, about 1 1/2 hours.  While the beans are cooking, heat the oil in a
  medium size skillet, over medium heat, and add the onion to saute it. Stir
  occasionally, until dark brown, about 15 to 20 minutes.  When the beans are
  done, drain well and mash.  Add the sauteed onions and their cooking fat
  and the cilantro.  Season generously with salt and freshly ground black
  pepper.  Cool to room temperature.
  
  Makes enough filling for 4 pies.