Parrots will still dismount players who come into contact with powder snow if parrots are included in the #freeze_immune_entity_types tag

Related to MC-206107 and MC-225878. MC-206107 was resolved by ensuring that parrots on a player's shoulder dismount if the player touches powder snow, enabling the parrot to freeze. However, if parrots are added to the "#minecraft:freeze_immune_entity_types" entity type tag, they still dismount the player unnecessarily, as they are already immune to freezing.

Steps to reproduce

1. Install the attached datapack
2. Tame a parrot
3. Place powder snow
4. Put the parrot onto your shoulder
5. Go into the powder snow
6. Execute the following command to verify that parrots are included in the tag:

   /execute as @e[type=#minecraft:freeze_immune_entity_types] run say hi

Observed outcome: The parrot dismounted you despite its immunity to freezing.
Expected outcome: The parrot should remain mounted, as it cannot freeze regardless.

Note: This could be perceived as a feature request or WAI, but ultimately, I believe Mojang should make the decision regarding this matter.