Final answer:
Considering the brisk corneal and palpebral reflexes, as well as other intact oculomotor-related responses, the patient's plane of anesthesia would be characterized as adequate.
Step-by-step explanation:
A patient's plane of anesthesia can be determined by observing several clinical signs such as the corneal reflex, palpebral reflex, lateral nystagmus, unstimulated blinking, eyeball rotation, and tearing. In the context given, brisk corneal and palpebral reflexes, present lateral nystagmus, regular unstimulated blinking, centered eyeball rotation, and normal tearing indicate that the patient is likely in an adequate plane of anesthesia. These signs show that the patient is not too lightly anesthetized (as brisk reflexes would be suppressed more if the plane was too deep) nor is in a very deep plane (where one would observe minimal to no reflexes and potentially a deviation of eyeball rotation).