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1
Toss shallot slices to separate them into rings. Have ready a slotted spoon and a double layer of paper towels. Heat oil to 275u00b0 in a small, deep heavy saucepan and drop in shallot rings.
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2
Cook shallots, stirring often, until they turn a uniform light brown--this will take about 8 to 12 minutes. Turn off the heat when they look almost done so they don't burn. Lift shallots from oil with slotted spoon and drain on paper towels. Reserve 2 tsp. shallot oil for vinaigrette and let cool. Save the rest for stir fries and any salad dressings.
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3
Make vinaigrette: Whisk vinegars, sugar, lemon juice, 1/4 tsp. salt, and 1/2 tsp. pepper together in a large bowl until salt and sugar dissolve. Add reserved shallot oil and the minced shallots and whisk well to blend. Season to taste with more salt, pepper, and lemon juice.
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4
Slice cucumbers into 1/4-in. slices with a knife or on a mandoline. Toss cucumbers and tomatoes with vinaigrette. Add mint, Thai basil, and shiso if using.
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5
Arrange salad on a platter and top with pickled leeks and fried shallots.
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6
Make ahead: Fried shallots, up to 2 days, stored airtight at room temperature.
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7
*Thai basil has narrow leaves, a purplish stem, and an anisey scent. Shiso, a beautiful notch-edged red or green herb, lends delicious fragrance to a dish (it's often served with sushi); the red is more pungent. Vietnamese pickled leeks are crunchy and mildly spicy-sweet. Find all at Asian markets.