Grilled Thai Green Bean Salad

Name: Grilled Thai Green Bean Salad
Ingredients: 2–3 Thai or serrano chiles, ribs and seeds removed, finely chopped; 4 garlic cloves, pressed; 1/2 cup fresh lime juice; 1/4 cup sugar; 2 tablespoons soy sauce; 1 teaspoon kosher salt; 1 tablespoon vegetable oil, plus more for grill; 1 (14-ounce) block firm tofu, cut into 1/2 planks; 1 pound green beans or mix of green beans and yellow wax beans, trimmed; 1 ripe but firm mango (about 1 pound), thinly sliced on the bias; 1 small carrot (about 5 ounces), thinly sliced on the bias; 1/2 cup cilantro, coarsely chopped, plus 1 tablespoon leaves; 2 ripe avocados, cut into quarters, skin removed; 2 tablespoons chopped salted, roasted peanuts; 1 small head of lettuce (such as romaine hearts or Bibb), separated into leaves for wrapping; A flat grill basket (about 13 1/2 x 8 1/2) or grill pan