All of the following structures pierce the buccinator muscle except?

Buccal branch of the mandibular nerve.Buccinator is the muscle of the cheek. It is a thin quadrilateral muscle which occupies the interval between the maxilla and the mandible. Its upper and lower boundaries are attached to the outer surfaces of the alveolar processes of the maxilla and mandible respectively opposite the molar teeth, and the posterior border is attached to the pterygomandibular raphe. Motor nerve supply of buccinator is the buccal branch of the facial nerve."Buccinator muscle is pierced by the parotid duct opposite the third upper molar tooth. The duct also passes through the buccal fat pad .Beneath the fat lie a few small molar glands`Both the buccal branch of the facial nerve and the parotid duct are at risk of injury before they pierce the buccinator muscle."Buccal branch of the mandibular nerve passes between the two heads of lateral pterygoid. I