Grilled Yogurt Chicken with Cucumber Salad

INGREDIENTS

• 4 boned, skinned chicken breast halves (about 1 1/2 lbs.)
• 1 1/4 cups plain whole-milk yogurt
• 1 1/4 teaspoons ground cumin
• 1 teaspoon fresh lemon juice
• About 3/4 tsp. kosher salt
• 1/2 teaspoon red chile flakes
• 1/4 teaspoon ground turmeric
• About 1 tbsp. vegetable oil
• 1 English cucumber, cut into 1/4-in. dice
• 2 tablespoons minced shallot (1 medium)
• 1/4 cup chopped fresh mint leaves
• Freshly ground black pepper