the goat, the chicken and the fig — Les Petites Gourmettes

Ingredients

• 3 tablespoons olive oil, divided
• 1 large shallot, peeled and sliced paper-thin
• Salt and freshly ground black pepper
• 4 fresh Mission figs, 2 sliced lengthwise and 2 halved, divided
• 1 tablespoon fresh thyme leaves plus sprigs for garnish
• 2 boneless, skinless chicken breast halves
• 4 ounces chèvre, room temperature and divided in half
• 1/2 cup white wine