"The croque madame: an essential dish in the French culinary canon. A ham and cheese sandwich is elevated by béchamel, broiled, and topped with a fried egg...."
INGREDIENTS
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1 Tbsp unsalted butter
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2 Tbsp all-purpose flour
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1½ cups whole milk
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1 sprig fresh rosemary
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1½ tsp coarse Dijon mustard
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¼ tsp freshly grated nutmeg
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½ tsp kosher salt
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¼ tsp Espelette pepper (or substitute black pepper)
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1 Tbsp unsalted butter, room temperature
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8 slices country-style bread
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6 ounces thinly-sliced ham
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6 ounces freshly-shredded Gruyere, divided
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2 garlic gloves, peeled and halved
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1 Tbsp olive oil
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4 large eggs
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Kosher salt
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Freshly ground black pepper