feat: Web StrictMode e2e test and playwright setup

[MatiPl01]

Summary

This PR adds playwright setup for web e2e tests. It also adds the example file for the fix implemented in #8567 and implements the first e2e test that checks if the example works properly.

Comparison

I compared test results for the working and non-working implementation and all of them work as expected. To change the current working implementation to non-working, you can simply remove the following lines of code from the packages/react-native-reanimated/src/createAnimatedComponent/AnimatedComponent.tsx:

while (dummyClone?.firstChild) {
  element.appendChild(dummyClone.firstChild);
}
delete element.dummyClone;

For incorrect implementation

For correct implementation

[tjzel]

LGTM