Mini Tarte Tatins with Caramelized Shallots and Goat Cheese

Name: Mini Tarte Tatins with Caramelized Shallots and Goat Cheese
Prep time: 10 min
Cook time: 30 min
Total time: 40 min
Cuisine: French
Ingredients: 1 tablespoon extra-virgin olive oil; 1 tablespoon butter; 1 ⅓ pounds shallots, peeled, trimmed, and halved lengthwise; 1 ½-2 tablespoons honey; 3-4 fresh thyme sprigs; ½ teaspoon dried tarragon leaves; 1 teaspoon kosher salt; Freshly ground black pepper; 1 teaspoon balsamic vinegar; 4 ounces goat (or feta) cheese; ¾ of 1 (14-ounce) package frozen all-butter puff pastry dough, defrosted and cut into 12 squares (or frozen puff pastry rounds can also be used); ¼ cup sugar; 1 tablespoon water; 1 ½ teaspoons butter