INGREDIENTS
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2 cups powdered sugar
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1 1/4 cups heavy whipping cream, divided
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1 tablespoon dark rum
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1/4 teaspoon salt
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1 tablespoon unsalted butter
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7 cups 3/4-inch cubes crustless brioche or egg bread (from 1-pound loaf)
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6 large eggs
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3/4 cup sugar
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1/8 teaspoon plus 1/4 teaspoon salt
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1 1/2 cups heavy whipping cream
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1 1/2 cups half and half
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1 teaspoon vanilla extract
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1/4 cup (packed) dark brown sugar
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3 tablespoons unsalted butter
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2 tablespoons dark rum
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1 tablespoon fresh lemon juice
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4 medium just-ripe bananas, peeled, cut lengthwise in half, then crosswise into 1/3-inch pieces