Posole Verde with Chicken

Name: Posole Verde with Chicken
Ingredients: ¼ cup olive oil; 1 large yellow onion, chopped; 6 garlic cloves, sliced; 2 teaspoons ground coriander; 1 teaspoon ground cumin; ½ teaspoon dried oregano (preferably Mexican), plus more for serving; 1 whole organic chicken (about 4 pounds); 1½ pounds tomatillos, husked, rinsed; 4 poblano chiles; 3 serrano chiles; 2 Cubanelle peppers (or 2 more poblanos); 2 15-ounce cans golden or white hominy, rinsed; Kosher salt, freshly ground pepper; 2 cups cilantro leaves with tender stems, plus more for serving; ½ small red onion, very finely chopped; Lime slices (for serving)