If you wanted to make this a two-pronged meal, double the recipe and serve it for dinner, then have the kids take the leftovers for school lunch the next day. Pick up some extra Chinese takeout white boxes for extra fun in the lunchbox!
In a medium-sized bowl, whisk together the brown sugar, sesame oil, soy sauce, tahini, White Purée, vinegar, and garlic. Add red pepper flakes gradually to taste.
Put the pasta in a large serving bowl. Spoon the sauce over the pasta, tossing to coat the pasta evenly. Garnish with sliced green onions, cucumber, and sesame seeds, if using. Refrigerate until cool, or feel free to serve it warm.