I think we need more information to answer.
The words in the brackets are telling the actors what to physically do, meaning it would be a stage direction.
It isn't dialogue because that is a conversation between two people.
It isn't dialect because that is how a person speaks. There is no speaking in the brackets.
It isn't narration because it isn't spoken allowed for the audience.
It isn't a description because that is too broad a term more often used for emotions.
Answer:
I'm pretty sure it's Thami
Explanation:
Thami is the most promising students, so that is Mr m's favorite
Persuade: To convince someone to do something without reasoning or an argument.
Example: The weather report persuaded me to stay home.