cr:3.0.8

If a private object would move zones and be public at the destination, it becomes public before any further replacement effects are applied and it is moved. If a public object will move zones and be private at the destination, it becomes private before any further replacement effects are applied and it is moved.

Example: Azalea’s activated ability puts a card from the deck (private object) into the arsenal face-up (public object in a private zone), therefore it becomes public before it is moved.

Example: Intimidate puts a card from hand (private object) into the banished zone face down (private object in a public zone), therefore it does not become public before it is moved.