Gingery Chicken Noodle Soup

Name: Gingery Chicken Noodle Soup
Cuisine: Asian
Ingredients: 1 lb. skin-on, bone-in chicken thighs; Kosher salt; 1 Tbsp. extra-virgin olive oil; 1 bunch scallions, white and pale green parts thinly sliced, dark green parts cut into 1½" pieces; 1 2" piece ginger, peeled, sliced into matchsticks; 6 garlic cloves, thinly sliced; 1 Tbsp. curry powder; Freshly ground pepper; 4 cups low-sodium chicken broth; 3 medium carrots, peeled, sliced on a diagonal ¼" thick; 8 oz. fresh wheat noodles (such as yakisoba or ramen) or 6 oz. dried ramen noodles; 1 Tbsp. (or more) fresh lime juice; Lime wedges (for serving)