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Preheat oven to 425
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Stretch pizza dough over a pizza stone or baking sheet and bake for 10 minutes
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Remove from oven and spread 2 tablespoons of pesto over crust
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Crack eggs and drop over top of the pizza
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Put pizza back in oven and bake another 10 minutes
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Remove pizza from oven, top with prosciutto, goat cheese, and thyme
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Put pizza back in oven and bake an additional 5 minutes
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Remove from oven, let sit for 5 minutes, slice and serve
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Drizzle with more pesto if desired