A 42-year-old woman from Mumbai presents with a 2-year history of progressive neck swelling and dysphagia. She reports recent-onset hoarseness and stridor on exertion. Physical examination reveals a firm, fixed thyroid mass with cervical lymphadenopathy. TSH is 0.8 mIU/L (normal). Fine-needle aspiration cytology shows papillary carcinoma. CT neck reveals compression of the trachea with 60% luminal narrowing and invasion of the strap muscles. What is the most appropriate surgical approach for this patient?