For the flatbread
In the bowl of an electric stand mixer, combine the water, yeast and sugar. Stir briefly and let stand for 5 minutes or until the top surface has a thin, frothy layer (this indicates that the yeast is active). Add the flour, oil and salt. Fit the mixer with the dough hook and mix on low speed for about 1 minute or until the dough begins to come together. Increase the speed to medium. Continue to mix until the dough is slightly sticky, smooth and elastic, about 10 minutes. Form the dough into a ball and place in a lightly oiled bowl. Turn it over to coat all sides and tightly cover the bowl with plastic wrap. Allow the dough to rise in a warm place until it has doubled in size, 1½ to 2 hours.
Prepare the grill for direct cooking over medium heat (180°C to 230°C).
Turn the dough out onto a lightly oiled surface and cut it into 12 equal portions. Using your fingers and the palms of your hands (oil them, too), stretch the dough to a length of about 20 centimetres. The first stretch will probably shrink back, but continue to pull and stretch using gentle pressure until you achieve the proper length. As needed, add more oil to the surface to keep the dough moist and pliable. If the dough springs back, cover it with plastic wrap, let rest for 5 minutes and try again. Stack the pieces of dough between sheets of parchment paper.
Brush the cooking grates clean. Carefully lay the pieces of dough, a few at a time, over direct medium heat and close the lid. Within 1 to 2 minutes the undersides of the dough should crisp, darken and harden, and the tops will puff slightly. Turn them over and continue to cook until both sides are dark brown, about 6 minutes total, turning every minute. If desired, keep warm over indirect heat. Serve warm or at room temperature with the topping(s) of your choice.
For the flatbread
In the bowl of an electric stand mixer, combine the water, yeast and sugar. Stir briefly and let stand for 5 minutes or until the top surface has a thin, frothy layer (this indicates that the yeast is active). Add the flour, oil and salt. Fit the mixer with the dough hook and mix on low speed for about 1 minute or until the dough begins to come together. Increase the speed to medium. Continue to mix until the dough is slightly sticky, smooth and elastic, about 10 minutes. Form the dough into a ball and place in a lightly oiled bowl. Turn it over to coat all sides and tightly cover the bowl with plastic wrap. Allow the dough to rise in a warm place until it has doubled in size, 1½ to 2 hours.
Prepare the grill for direct cooking over medium heat (180°C to 230°C).
Turn the dough out onto a lightly oiled surface and cut it into 12 equal portions. Using your fingers and the palms of your hands (oil them, too), stretch the dough to a length of about 20 centimetres. The first stretch will probably shrink back, but continue to pull and stretch using gentle pressure until you achieve the proper length. As needed, add more oil to the surface to keep the dough moist and pliable. If the dough springs back, cover it with plastic wrap, let rest for 5 minutes and try again. Stack the pieces of dough between sheets of parchment paper.
Brush the cooking grates clean. Carefully lay the pieces of dough, a few at a time, over medium heat and close the lid. Within 1 to 2 minutes the undersides of the dough should crisp, darken and harden, and the tops will puff slightly. Turn them over and continue to cook until both sides are dark brown, about 6 minutes total, turning every minute. If desired, keep warm over indirect heat. Serve warm or at room temperature with the topping(s) of your choice.
For the Tomato Tapenade
In the bowl of a food processor, pulse the olives, tomatoes and garlic several times to coarsely chop them. Add the rest of the tapenade ingredients. Process until the mixture is well combined. If the tapenade is too chunky, add another tablespoon of oil and pulse until spreadable.
For the Blue Cheese–Walnut SpreadUsing a fork or an electric stand mixer fitted with the paddle attachment on low speed, mix the blue cheese and butter to form a semi-smooth spread. It’s okay if there are some small chunks of blue cheese. Fold in the remaining ingredients.
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