No he doesn’t. He knows it’s fake, but he’s lying on purpose so that he can further his agenda to deport anyone he doesn’t like to a concentration/death camp.

If he admits that he is wrong about anything, then his entire fascist empire crumbles before his very eyes, so he doesn’t.

Fascism relies on an overly confident leader who is perceived as infallible. Admitting wrongness opens the door to people in his cult realizing that Trump can be wrong about things in general.