Even when Parrots have NoAI, they are still capable of dancing

Parrots with NoAI can dance to music discs, unlike axolotls. This relates to MC-253189.

steps to reproduce

1. /summon minecraft:parrot ~ ~ ~ {NoAI:1b}

1. Put down a jukebox
2. Select and play a music disc of your preference

Observation: The parrot exhibits dancing behavior despite having NoAI.
Expectation: The parrot should refrain from dancing when NoAI is active.