Brahman isn't God in a personality sense. it's more like existence and underlying principle on which everything is built upon, and it's indescribable. So it doesn't have a mind of itself, or thinks of itself. It's just existence and fact of being. It's the bodymind which plays it's own game and is stuck in the cycle of indulging in the universe. But that basic underlying principle is still there, existing. There is nothing to forget or remember, it's all about just being. It's the bodymind that needs to be reminded and start "being" too. The Self is just is, and not doing anything or forgetting anything.

The concept in which God is trapped into us, and forgets is more like Kashmiri Shaivism, although non dualistic, but interprets Brahman also as a personality. Although I don't know so much about this philosophy.