The Android TV background suspension latch, availability policy, and
resume/rewind restore logic lived as an extension on the 149-field
player State, with the suspension flag read and reset from three other
parts. Move them into MediaControlsScreenController, a plain
State-owned helper following the established player pattern: the
manager, player, and current item are injected as late-bound getters
because they are re-created per playback attempt. The controller now
solely owns the suspension latch; teardown clears it via
resetSuspension() instead of writing the State field directly.
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