Croque Madame

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12 slices white sandwich bread

Dijon mustard, for spreading

Sliced ham, as needed, depending on how thick your ham is (if using thinly sliced deli ham, use about 3 slices per sandwich, or 18 slices total)

4 cups grated Gruyere cheese

3 tablespoons unsalted butter

1/4 cup all-purpose flour

2 cups whole milk

Pinch grated nutmeg

Kosher salt and freshly ground black pepper

6 over-easy fried eggs