Upgrade React Native, FlashList, Reanimated, and update example app

[usama-liaqat]

Summary

This PR upgrades the library and example app to be compatible with the latest React Native ecosystem.
It includes updates to both dependencies and example code.

Changes

• Upgraded dependencies:
  • React Native → latest stable version
  • @shopify/flash-list → latest version
  • react-native-reanimated → latest version (with react-native-worklets peer dependency)
• Updated example project:
  • Migrated to the latest React Native version
  • Adjusted example code to match API changes in FlashList and Reanimated
  • Ensured compatibility with the updated collapsible tab view library
• Applied required configuration changes for Reanimated v4 (moved Babel plugin to react-native-worklets/plugin)

Motivation

• Keep the library aligned with the latest React Native releases
• Ensure the example app serves as a working reference for current RN projects
• Improve long-term maintainability and developer experience

Testing

• Example app builds and runs on iOS and Android using the latest React Native
• Verified collapsible tab view functionality works correctly with updated FlashList and Reanimated

[rileysay]

@PedroBern @andreialecu can we merge this? Also is Legend List supported yet? (think v2 legend list just came out so may fix problems. I saw @andreialecu was attempting to implement v1 previously?)

[usama-liaqat]

Yeah, you can go ahead and merge it.
Legend List V2 isn’t supported yet since it still depends on react-native-reanimated v3.

[andreialecu]

Thanks for contributing. This is superseded by #483 which is available as v9.0.0-rc.0