Potato Green Bean Salad with Lemon Dill Aioli

Name: Potato Green Bean Salad with Lemon Dill Aioli
Ingredients: For the salad; 4 cups fresh green beans, rinsed with ends removed; 4 medium-sized Yukon Gold or Yellow Finn potatoes, scrubbed and cut into cubes; 1 large bowl of ice cubes + lots of cold water; For the aioli; 3/4 cup mayonnaise; 1 teaspoon sea salt; 1 teaspoon freshly ground black pepper; 2-3 garlic cloves, minced or pressed (use 3 if you love garlic, 2 if you don't!); 3-4 teaspoons fresh lemon juice; 3 teaspoons chopped, fresh dill