Cockatoo language in nature is this:
Child: wild call
Parent: wild call back
Child: wild call back
Parent: wild call back
Child: wild call back
There are bird species with nuanced dialogue-like calls, but parrots are not him ...
While their calls sound like chalk on a blackboard their body language is complex. You can communicate a lot via your actions and expressions!
And, occasionally, demonic summoning chants:
https://www.youtube.com/watch?v=5UUjJysUMTw