[0.76] `KeyboardAvoidingView` animation issues since 0.76+ upgrade

Description

I've updated my project from 0.75.2 to 0.76.1 this morning, and I noticed that the KeyboardAvoidingView, which was previously animating properly, is no longer animating. It now jumps and doesn't follow the keyboard animation.

Not sure why in my project it doesn't work, but while creating the reproduction repo, I noticed the animation behaviour has changed and doesn't look native smooth anymore.

Steps to reproduce

Any new project with KeyboardAvoidingView

React Native Version

0.76.1

Affected Platforms

Runtime - iOS

Output of npx react-native info

System:
  OS: macOS 15.2
  CPU: (10) arm64 Apple M1 Pro
  Memory: 157.52 MB / 16.00 GB
  Shell:
    version: "5.9"
    path: /bin/zsh
Binaries:
  Node:
    version: 22.11.0
    path: ~/.nvm/versions/node/v22.11.0/bin/node
  Yarn:
    version: 1.22.17
    path: ~/.npm-global/bin/yarn
  npm:
    version: 10.9.0
    path: ~/.nvm/versions/node/v22.11.0/bin/npm
  Watchman:
    version: 2024.01.22.00
    path: /opt/homebrew/bin/watchman
Managers:
  CocoaPods:
    version: 1.15.2
    path: /Users/Alexis/.rbenv/shims/pod

Stacktrace or Logs

No crash

Reproducer

https://github.com/alexmngn/reproducer-react-native-keyboard-avoiding

Screenshots and Videos

On my project

Before update, 0.75.2

https://github.com/user-attachments/assets/5089cd4d-fb2f-4bde-9a9b-a7790b989c23

After update, 0.76.1

https://github.com/user-attachments/assets/60bc6d95-c444-4492-887b-cdb7d4e562d1

On the reproducer repo

Before update, 0.75.2

https://github.com/user-attachments/assets/83df6cab-b4c4-4698-a458-291ab37f982c

After update, 0.76.1

https://github.com/user-attachments/assets/8fa6d39c-88af-4527-b41c-d7ae2bc8e7a2

Start with the linked reproducer repository and run its KeyboardAvoidingView example on iOS, comparing React Native 0.75.2 with 0.76.1. Trace the KeyboardAvoidingView behavior across those versions and verify the result against the attached before-and-after videos. Done means the view follows the keyboard animation smoothly again after upgrading.