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.

[vonovak]

Android build failure will be resolved by using https://github.com/software-mansion/react-native-screens/releases/tag/4.0.0-beta.13

[janicduplessis]

@vonovak Looks like rn-screens released a stable version with 0.76 support 3.35.0.

Could you fix the conflicts then I think we can merge this.

[janicduplessis]

I also have some report of the build still failing on android (#542), if you have the chance could you also check if the new example app works on android?

[vonovak]

@janicduplessis I installed the .76 - compatible deps and CI is passing. However, I removed the macos example which was just recently added.
RN macos is one version behind the core now, and I'm not sure how well it'll play to have multiple versions of react and etc in one place. Maybe it will work, maybe it won't, maybe there should be 2 examples so that android+ios can run in separation from macos (I'd prefer that)? I felt it's more up to you to decide.

[janicduplessis]

Since rn macos always seem to he a bit behind rn versions I think we will have to have a different example app sadly.