AnimationRunning option of Animate misbehaving

This simple example gives a strange error.

DynamicModule[{Go = True}, 
  Animate[
    EventHandler[
      Graphics[Rotate[Rectangle[], t]], 
      {"MouseClicked" :> (Go = False)}], 
    {t, 0, 8}, 
    DefaultDuration -> 30, 
    AnimationRunning -> Dynamic[Go]]]

A message window pops up which says:

An unrecognized option name (“AnimationRunning”) was encountered while reading a AnimatorBox.

And my message handler doesn’t work (it’s supposed to stop the animation when I click it). If I replace Dynamic[Go] with simple Go, there are no messages and the animation works correctly (but the message handler is disconnected, of course). So the option per se is perfectly recognized, and the problem is with Dynamic.

What am I doing wrong?

Manipulate[EventHandler[Graphics[Rotate[Rectangle[], t]], 
    {"MouseClicked" :> (Go = Not[Go])}],
  {{t, 0}, 0, 8, Animator[##, DefaultDuration -> 30, AnimationRunning -> Go] &}, 
  {{Go, True}, None}, 
  AppearanceElements -> {}]