[menu] Reimplement the bottom sheet using native languages (#21268)

# Why

Closes ENG-7280.
Reimplemented the bottom sheet using native languages and removed reanimated from vendored modules.
B

[menu] Reimplement the bottom sheet using native languages (#21268)

# Why

Closes ENG-7280.
Reimplemented the bottom sheet using native languages and removed reanimated from vendored modules.
By doing that we improve the build speed.

# How

- On Android, I've used the material design bottom sheet. We may want to copy the implementation from the original repo to ours to avoid extra dependency.
- On iOS, I've copied the implementation from https://github.com/applidium/OverlayContainer. I managed to test a couple of different libraries and that one works the best with RN.

# Test Plan

- bare-expo on both platforms ✅

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