[native] Move navigation related callbacks in ChatInputBar to function component

Summary:
https://linear.app/comm/issue/ENG-8147/convert-chatinputbar-to-reanimated-2-syntax

Depends on D14012

Test Plan:
Tested this diff stack by playing around with ChatInputBar on both iOS simulator and Android device:

• focus the text input and verify the keyboard is up and the camera buttons are animated correctly
• try to send the message, verify the send button is animated correctly
• verify the text input can be unfocused and keyboard is hidden
• verify the draft works: write text, navigate from the chat, navigate into the chat again, verify the text is kept and the $
• verify the edit mode works by editing a message
• try to close the chat while editing a message - the alert should be shown
• try to join a thread
• try to select typed text

Reviewers: kamil, bartek, ashoat

Reviewed By: ashoat

Subscribers: ashoat, tomek

Differential Revision: https://phab.comm.dev/D14013