This is where eastern wisdom is different... And it becomes a clash of words.
Just a small example. For you deep sleep is an un-conscious state. But Vedanta teaches that it is actually dense prajna, dense consciousness, without any contrast or partition or a second, and therefore mind cognises nothing.
The Self Realised sage, on the other hand, remains slumberless and Sees its own infinite sea of consciousness, wherefrom dream and waking worlds emerge successively.
Mind is conscious in dream and in waking, since there is contrast -- beginning with division of the single infinite consciousness into an 'i' and a world.
But the "I Am" is the division-less awareness of the deep sleep that enlightened sages see.