You are answering a USMLE-style medical question. Question: A 47-year-old female undergoes a thyroidectomy for treatment of Graves' disease. Post-operatively, she reports a hoarse voice and difficulty speaking. You suspect that this is likely a complication of her recent surgery. What is the embryologic origin of the damaged nerve that is most likely causing this patient's hoarseness? Options: A) 1st pharyngeal arch B) 2nd pharyngeal arch C) 3rd pharyngeal arch D) 6th pharyngeal arch Reply with ONLY the letter of the correct answer (A, B, C, or D). No explanation.