What does being self aware mean?
It includes being aware of oneself as a personality - aware of one's body at many different levels, aware of one's breath, one's energy levels, aware of one's feelings, aware of one's thoughts including the beliefs that power one's feelings, one's memories, one's ignorance, one's ego, one's external environment. Living consciously with reference to all of these is included in being self aware.
What else? Is there anything left?
Is one aware of the awareness that one is? What is it's nature?
Is being aware of the awareness one essentially is, the same as being aware of one's personality or external environment/ situations?
One's personality or external environment needs you awareness to reveal its presence. Do you need their presence to be aware?
Can what one is aware of limit the awareness/ consciousness that one is? Are there two things then - awareness and what one is aware of?
Is the awareness that one essentially is free of all objects of awareness?
Is awareness/ Consciousness born? Is awareness/ consciousness a product of the body or mind? Does awareness/ consciousness die?
A systematic study of Vedanta will answer all these questions and many more, bringing clarity regarding your own nature. And in the wake of clarity you discover your freedom.
Om Tat Sat.