[HOLD for payment 2023-08-14] Update RN Reanimated, Gesture handler and Screens packages to newer versions

[mountiny]

Problem

Coming from here

We are soon going to update the app to the newly released RN 0.72. That means we can also update other packages to the latest versions which support up to date RN.

Why

This helps to get the most out of the packages for us.

Solution

SWM can help us with this as they are maintainers of the packages.

Update:

react-native-reanimated 3.1.0 -> 3.3.0
react-native-gesture-handler 2.9.0 -> 2.12.0
react-native-screens 3.17.0 -> 3.21.0

[melvin-bot]

Triggered auto assignment to @CortneyOfstad (NewFeature), see https://stackoverflowteams.com/c/expensify/questions/14418#:~:text=BugZero%20process%20steps%20for%20feature%20requests for more details.

[Skalakid]

Hey 👋 I’m Michał Skałka from Software Mansion, an expert agency, and I will help close this issue out

[mountiny]

@fabioh8010 Could you please bump these libraries as part of this PR too #18507

[mountiny]

@Skalakid can help with any issues with the update.

[Skalakid]

@mountiny Yes of course :D @fabioh8010 If you have any questions/problems with updating these packages feel free to contact me