For me, whether or not your avatar is animated depends on which nostr client I am using.

Amethyst - animated

Primal - a bee but not animated

Iris - animated

Coracle - animated but your name there is 'HODLr' instead of 'BitBees'

https://video.nostr.build/0fec7c1c3f2a5db0c8fa910b23626d630c9f49b611a450d76790b60835cf7aac.mp4