Here is a great quote:

“The mother gazes at the baby in her arms, and the baby gazes at his mother's face and finds himself therein...provided that the mother is really looking at the unique, small, helpless being and not projecting her own expectations, fears, and plans for the child. In that case, the child would find not himself in his mother's face, but rather the mother's own projections. This child would remain without a mirror, and for the rest of his life would be seeking this mirror in vain.”
― Donald Woods Winnicott

The Narc usually never admits their mistakes.  If they do, its usually to get sympathy.