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Fix T89313: Attribute search crash with animation playback

rBc473b2ce8bdbf8fa42 improved the situation somewhat, but
attribute search still crashes during animation playback, because
the UI search data references stale memory. The proper solution
is to allow the search to own data rather than just referencing it,
but I would prefer not to do that for 3.0. In the meantime, just
disable attribute search when animation is playing.

Differential Revision: https://developer.blender.org/D13179