[native] Use declarative Reanimated definition for ChatInputBar animations
[native] Use declarative Reanimated definition for ChatInputBar animations

Summary:
I've noticed buggy behavior and visual aberrations with the ChatInputBar animations. I suspect it's because I'm using the "classic" procedural API (borrowed from React Native's Animated library), eg `Animated.timing(...).start()`.

I've switched it to use the more modern declarative style and I haven't noticed any issues so far. I think this is an improvement.

Reviewers: palys-swm

Reviewed By: palys-swm

Subscribers: KatPo, zrebcu411, Adrian

Differential Revision: https://phabricator.ashoat.com/D204

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