[0.85] Add pushAnimationMutations to the AnimationBackend

[bartlomiejbloniarz]

Target Branch

0.85

Link to commit or PR to be picked

facebook/react-native#56401

Description

This PR completes the Animation Backend API with changes needed for the cooperation of Animated and Reanimated

[github-actions]

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[alanleedev]

@react-native-bot merge e4f0509973241d43f969401f81e85f0cd25ccc94 0.85-stable

[react-native-bot]

❌ I failed to process your request with this error:

Failed to cherry-pick e4f0509973241d43f969401f81e85f0cd25ccc94 on branch 0.85-stable with: 1 with 'Command failed: cd react-native; git cherry-pick e4f0509973241d43f969401f81e85f0cd25ccc94'

console output:

On branch 0.85-stable
You are currently cherry-picking commit e4f0509973.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   packages/react-native/ReactCommon/react/renderer/animated/NativeAnimatedNodesManager.cpp
	modified:   packages/react-native/ReactCommon/react/renderer/animationbackend/AnimationBackend.cpp
	modified:   packages/react-native/ReactCommon/react/renderer/animationbackend/AnimationBackend.h
	modified:   packages/react-native/ReactCommon/react/renderer/animationbackend/AnimationChoreographer.h
	modified:   packages/react-native/ReactCommon/react/renderer/uimanager/UIManagerAnimationBackend.h
	modified:   private/react-native-fantom/tester/src/TesterAnimationChoreographer.h

Unmerged paths:
  (use "git add/rm <file>..." as appropriate to mark resolution)
	deleted by us:   scripts/cxx-api/api-snapshots/ReactAndroidDebugCxx.api
	deleted by us:   scripts/cxx-api/api-snapshots/ReactAndroidReleaseCxx.api
	deleted by us:   scripts/cxx-api/api-snapshots/ReactAppleDebugCxx.api
	deleted by us:   scripts/cxx-api/api-snapshots/ReactAppleReleaseCxx.api
	deleted by us:   scripts/cxx-api/api-snapshots/ReactCommonDebugCxx.api
	deleted by us:   scripts/cxx-api/api-snapshots/ReactCommonReleaseCxx.api