Final answer:
The nurse should dim the room lights, turn off the TV, and quiet machine alarms if possible.
Step-by-step explanation:
In this scenario, the nurse is caring for a client with traumatic brain injury on continuous mechanical ventilation.
The nurse assesses sluggish pupils and an increase in blood pressure. The first intervention the nurse should implement is to dim the room lights, turn off the TV, and quiet machine alarms if possible.
This is because the client's symptoms suggest a potential increase in intracranial pressure, and a quiet and dim environment can help reduce stimulation and promote cerebral perfusion.