Green Chile Chicken Tamales

INGREDIENTS

• 1 1/2 tablespoons olive oil
• 2/3 cup chopped fresh cilantro
• 1 1/3 cups lard or solid vegetable shortening
• 1 1/2 teaspoons salt (omit if masa mixture contains salt)
• 2 cups low-salt chicken broth
• 4 cups freshly ground masa dough for tamales (34 to 36 ounces), or make masa dough with 31/2 cups masa harina (corn tortilla mix; about 17 ounces) mixed with 2 1/4 cups warm water
• 4 3-inch-long serrano chiles, stemmed, chopped
• 1 pound tomatillos, husked, rinsed
• 4 cups (packed) coarsely shredded cooked chicken (about 1 pound; from purchased rotisserie chicken)
• 2 cups (about) low-salt chicken broth
• 1 1/2 teaspoons baking powder (omit if masa mixture contains baking powder)
• 4 large garlic cloves, chopped
• 1 8-ounce package dried corn husks