Bring a large pot of salted water to boil over high heat.
Meanwhile, cut zucchini into thin strips with a vegetable peeler; set aside. Combine mint and next 5 ingredients in a small bowl; set aside.
Cook pasta in boiling water according to package directions, adding zucchini during last minute of cooking time. Drain and transfer to a large serving bowl.
Stir in mint mixture, tossing to combine. Sprinkle with nuts.
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