There was incredibly intense struggle session in early christianity about that. And the only options were a) he’s just god and b) he’s human and a god. No christian denomination think he was just a human, it would not be christianity anymore then.

So yeah, he’s always a god, and not just any god but THE God, omniscient and omnipotent. And yes, they did noticed the fact if he was really omniscient there would be no need for Jesus at all, but those guys were declared heretics and majority of christianity just proceeded to happily ignore that paradox, like every other one.