Heat a large pot of water for pasta and salt it. Add spaghetti and cook to al dente. Heads up: you will need to reserve 1/2 cup starchy liquid before draining.
Preheat oven to 450 degrees F.
Combine the juice of 2 limes with rice wine vinegar, honey and sesame oil. Add cucumber and 1/4 red onion to dressing, season with salt, toss in dressing and sprinkle with sesame seeds, reserve.
Coarsely chop mushrooms and place in a bowl. Coat the mushrooms in teriyaki sauce and combine with scallions, 2 tablespoons vegetable oil and grill seasoning. Arrange on nonstick baking sheet and cook 20 minutes turning once.
Heat a large skillet with 2 tablespoons vegetable oil over high heat. Add peppers, remaining red onion, pea pods, garlic and ginger and stir fry 2 minutes. Add the edamame and heat through, 2 to 3 minutes more. Add hoisin, the juice of 2 limes, hot sauce and some starchy pasta liquid to form a sauce. Add drained spaghetti and toss to coat. Turn off heat and toss in cilantro and mint. Serve noodles in bowls, mushrooms and cucumber salad as side dishes.
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