Owner of a AI-controlled Pawn

I’m making a multiplayer game prototype, and I need some AI-controlled pawns to be “relevant to owner only”. If I spawn a pawn with no AIController and set one of the players as its owner, it works as expected: the pawn is only relevant to the owning player.

However, if I spawn the pawn with an AIcontroller attached, it won’t be replicated to the player who is the pawn owner at all.
Is the AiController automatically the new owner of the controlled pawn somehow? If so, how can I fix the situation?

Would greatly appreciate any help or insight. Thanks!