public enum AnimationType
{
    None,
    Movement,
}

[SerializeField] private AnimancerComponent _Animancer;

// 1. Store a TimeSynchronizer in a field.
private readonly TimeSynchronizer<AnimationType>
    TimeSynchronizer = new TimeSynchronizer<AnimationType>();

public AnimancerState Play(AnimationClip clip, AnimationType type)
{
    // 2. Call any of the StoreTime methods before playing a new animation.
    TimeSynchronizer.StoreTime(_Animancer);
    
    // 3. Play an animation.
    var state = _Animancer.Play(clip);
    
    // 4. Call any of the SyncTime methods after playing the animation.
    // If the `type` was the same as the value from last time you called it,
    // the state's NormalizedTime will be set to the stored value.
    TimeSynchronizer.SyncTime(state, type);
    
    return state;
}