Get on the half-pipe and look for a vine sticking out by the left wall. When you find it, space jump on it, then space jump from it to the ground above the half-pipe.
Now you'll have to space jump across the half-pipe to the other side of the room where the spider ball track is, like in the top picture. You have to go pretty far to make it, so consider trying an l-lock space jump.
Once you reach the other side, continue to the wave door at the back, with or without the spider ball.
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