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1
Place shallots in a small nonreactive bowl. Bring vinegars, sugar, and 1 cup water to a boil in a small saucepan, stirring to dissolve sugar. Pour over shallots; chill.
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2
DO AHEAD:
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3
Heat oil in a medium skillet over medium-high heat. Add onion, season with salt, and cook, stirring often, until soft, 5-7 minutes. Add wine, vinegar, sugar, cinnamon, star anise, red pepper flakes, and allspice. Bring to a boil, reduce heat, and simmer, stirring occasionally, until liquid is thickened and syrupy, 40-45 minutes.
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4
DO AHEAD:
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5
Heat oil in a large pot over medium-high heat. Add onions, leek, celery, garlic, chile, and ginger; season with salt. Cook, stirring often, until soft (do not let brown), 10-12 minutes.
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6
Add wine and mirin to pot, bring to a boil, and cook until reduced by half, about 4 minutes. Reduce heat to medium, cover, and cook, stirring occasionally, until onions are soft and translucent, 25-30 minutes. Let cool slightly, then puree in a blender until smooth. Strain into a large bowl and stir in cream (thin with water, if needed); season with salt. Reheat soup in a clean pot.
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7
DO AHEAD:
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8
Heat butter in a large skillet over medium heat. Cook bread until golden, about 3 minutes (you'll have 2 extra). Flip, top with cheese, cover, and cook until cheese is melted, about 4 minutes. Top toasts with pickled shallots and chives.
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9
Spoon some jam into each bowl, pour soup around, and top with toasts.
