Grilled Potato and Green Bean Salad

Name: Grilled Potato and Green Bean Salad
Ingredients: 1 cup full-fat mayonnaise; 2 tablespoons miso (I use white, but any variety will work); 2 teaspoons Dijon mustard; 2 teaspoons paprika (regular or smoked); 1 teaspoon finely grated lemon zest + 2 tablespoons juice, from 1 large lemon; Kosher salt plus freshly ground black pepper; 1 1/2 to 2 pounds new potatoes, halved or quartered into bite-sized pieces; 1 pound green beans, trimmed and left whole; Vegetable oil (for the grill); A big handful of basil, torn into small pieces