Track "Animating" Entry for Gestures while the Gesture is Still On-going (#34548)

Stacked on #34546.

Same as #34538 but for gestures.

Includes various fixes.

This shows how it ends with a Transition when you release in the
committed state. Note how the Animation of the Gesture continues until
the Transition is done so that the handoff is seamless.

<img width="853" height="134" alt="Screenshot 2025-09-20 at 7 37 29 PM"
src="https://github.com/user-attachments/assets/6192a033-4bec-43b9-884b-77e3a6f00da6"
/>

DiffTrain build for [e2332183591ff3a5657c3322a21bcdcccae32088](https://github.com/facebook/react/commit/e2332183591ff3a5657c3322a21bcdcccae32088)