Calling `setValue` in NativeAnimated does not update the state correctly

Problem Description

When you call setValue on an Animated.Value node, the expectation is that any active animations will be stopped and the prop node attached to the Animated.Value node will update with the correct value.

Steps To Reproduce

1. Add an example that calls setValue during an active animation
2. Observe the props side effect after calling setValue with the JS driver vs. the NativeAnimated driver.
3. The NativeAnimated driver stops the animation but keeps the current animation value.

Expected Results

The NativeAnimated driver must update the animation graph so that the Animated.Value setting propagates to the props animated node and the view's prop is updated correctly.

CLI version

npx react-native --version

Environment

npx react-native info

Target Platform Version

No response

Target Device(s)

No response

Visual Studio Version

No response

Build Configuration

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Snack, code example, screenshot, or link to a repository

In this example, I call setTimeout(..., 500) and call setValue(0) after 500ms. Notice that the JS driver updates the props back to their initial state, but the NativeAnimated driver stops the animation and the props do not get the correct value:

https://user-images.githubusercontent.com/1106239/145258694-a9159935-be08-41dd-87e7-776293fe1603.mp4

Start at the NativeAnimated setValue path and reproduce the linked example, comparing the JS and NativeAnimated drivers after setValue(0) interrupts an active animation. Trace how the animation graph reaches the props node and view; done means the native driver stops the animation and updates the view prop to the value passed to setValue.