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1
Make the dough: Fill a liquid measuring cup or small bowl with 1/2 cup warm (not hot) water.
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2
Add the yeast and sugar and stir with a fork; let sit 15 minutes.
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3
The top of the water will bubble and it will smell very yeasty-this is what you want!
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4
Combine the flour and salt in a large bowl.
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5
Make a well in the center of the flour and pour in the olive oil and the yeast mixture.
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6
Using a fork, gradually stir the flour into the yeast mixture until mostly combined, then mix with your hands to bring the dough together.
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7
Turn out onto a clean surface.
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8
Knead the dough until smooth, dusting with flour as needed.
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9
Lightly oil a bowl; add the dough, cover with plastic wrap and set aside in a warm place until doubled in size, about 1 hour.
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10
Prep the toppings: For prosciutto-arugula pizzas, make the chile oil: Bring the chiles and olive oil to a simmer; remove from the heat and let steep 1 hour.
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11
(This makes extra oil; store in a sealed container for up to 1 week.)
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12
For puttanesca pizzas, make the topping: Mix the tomatoes, olives, capers and red pepper flakes in a bowl; add salt and drizzle with olive oil.
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13
Preheat the grill: Preheat a grill to medium high (you don't want it to be too hot or the crusts will burn before the cheese melts).
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14
Brush the grill to remove any crud.
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15
Roll out the dough: Turn the dough out onto a floured surface and divide into 6 equal pieces.
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16
Roll each piece into a ball.
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17
Use a rolling pin to roll out each ball into an irregular oval, dusting with flour as needed.
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18
For cracker-thin crusts, use your hands to gently stretch the dough even more.
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19
Stack the dough between layers of plastic wrap and head to the grill (or wrap and refrigerate overnight).
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20
Grill the crusts: Oil the grill (Anne uses a rolled-up towel and tongs), then carefully add a few pieces of dough.
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21
Grill until the top is bubbly and the bottom is marked, about 2 minutes.
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22
Flip with tongs and grill until just marked on the other side.
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23
Remove from the grill and transfer to baking sheets; repeat with the remaining dough.
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24
Add the toppings: Working on the baking sheets, top the crusts with parmigiano and prosciutto, or top with taleggio and the puttanesca mixture; return to the grill.
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25
Crack an egg directly onto each prosciutto pizza, if you want.
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26
Cover the grill and cook until the cheese melts and the eggs are set, 2 to 3 minutes.
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27
Finish the pizzas: Remove from the grill and top the prosciutto pizzas with arugula; drizzle with the prepared chile oil.
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28
Top the puttanesca pizzas with chives.
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29
Photograph by Steve Giralt