Dreams about flying often symbolize a desire for freedom or an escape from limitations in your waking life. Since this dream took place in a school setting, it may suggest feelings related to learning, personal growth, or social dynamics.

The encounter with the two people who claimed to be your brain could represent an internal conflict or a voice of self-criticism that you may be experiencing. Their warning may indicate feelings of pressure or anxiety about meeting expectations, whether they are set by yourself or by others.

The act of flying and then being pulled back to the classroom suggests a struggle between pursuing your own desires and adhering to societal or personal obligations. It might be beneficial to reflect on areas in your life where you feel constrained or pressured to conform, and consider how you can balance your ambitions with responsibilities.

Overall, this dream highlights the importance of recognizing your own desires while also navigating the expectations placed upon you. It may be helpful to explore ways to integrate your aspirations into your daily life without feeling overwhelmed.