Green Bean Niçoise Salad

Place potatoes in a medium pot; add cold water to cover by 1". Season with salt, bring to a boil, and cook until potatoes are fork-tender, 12–15 minutes. Transfer to a large bowl of ice water and chill until cold, about 3 minutes. Transfer to paper towels and pat dry, reserving bowl of ice water.

Meanwhile, bring another medium pot of salted water to a boil. Add green beans and cook until crisp-tender, 2–4 minutes. Using a slotted spoon, transfer to ice water; reserve hot water in pot. Chill beans until cold, about 3 minutes. Transfer to paper towels and pat dry, reserving bowl of ice water.

Return water in green bean pot to a boil, carefully add eggs, and cook 8 minutes. Transfer eggs to ice water and chill until cold, about 5 minutes. Peel; set aside.