[HOLD for payment 2023-09-07] Make animations within RHP consistent and reliable

[mountiny]

Problem

Navigating between flows in RHP does not have animations. For exmaple if you go from search to new Group using shortcuts or if you navigate to new money request confirmation modal and then you click on details of the recipient there is no animation for the User details page in RHP.

Screen.Recording.2023-07-07.at.1.16.40.AM.mov

Solution

Lets make this animations consistent, everytime we push, replace or pop a page within RHP no matter what flow they are at, lets have the same slide in and out animation.

[melvin-bot]

Triggered auto assignment to @flaviadefaria (Bug), see https://stackoverflow.com/c/expensify/questions/14418 for more details.

[melvin-bot]

Bug0 Triage Checklist (Main S/O)

• This "bug" occurs on a supported platform (ensure Platforms in OP are ✅)
• This bug is not a duplicate report (check E/App issues and #expensify-bugs)
  • If it is, comment with a link to the original report, close the issue and add any novel details to the original issue instead
• This bug is reproducible using the reproduction steps in the OP. S/O
  • If the reproduction steps are clear and you're unable to reproduce the bug, check with the reporter and QA first, then close the issue.
  • If the reproduction steps aren't clear and you determine the correct steps, please update the OP.
• This issue is filled out as thoroughly and clearly as possible
  • Pay special attention to the title, results, platforms where the bug occurs, and if the bug happens on staging/production.
• I have reviewed and subscribed to the linked Slack conversation to ensure Slack/Github stay in sync

[mountiny]

@WoLewicki @adamgrzybowski this will be our next one to tackle after the remounting issue.

@flaviadefaria no need to act on this one, making it weekly, SWM will handle this

[mountiny]

This should be partially solved by #22437