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If you view the entire shaded region (orange and green) as its own spacetime, the interpretation is a wormhole connecting two distinct regions that are both "outside the black hole."
However, this sort of wormhole isn't traversable. An observer has to move along a path that, at each instant, remains inside their light cone from the instant before.
Light rays make 45 degree angles on this diagram, so an observer starting on the orange side can't cross the 45 degree line into the green region.
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