feat: support RN 0.76 + add example with RNTA

[vonovak]

Summary

same as #537 but also includes an example app that uses react-native-test-app. You can take it, or ignore it - up to you.

used npx --package react-native-test-app@latest init to create the example. Then copied over the src folder from the old example.

Test Plan

cd rnta-example
yarn install
npx patch-package
cd ios && npx pod-install && cd -

There's a patch for react-native-screens taken from https://github.com/software-mansion/react-native-screens/pull/2407/files#diff-59c313fb0dfe322996885368a5a90d8f8400c2576bb64acc60467c2e79ecd2e9

then build as ususal

[janicduplessis]

This looks great, gonna take some time to properly review and test in a few days.