Red Eye Gravy

6 ounces country ham, sliced 1/4-inch thick
1 tablespoon unsalted butter, plus more for ham if necessary
1/2 cup strong black coffee
1/2 cup low-sodium chicken broth or water
1/2 teaspoon sugar

Heat a large skillet (preferably cast-iron) over medium-high. Cook ham, adding 1/2 Tbsp. butter if ham is lean to help the browning process, until browned and fat has rendered, 2–3 minutes per side. Transfer ham to a platter.

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