Help me figure out the best way to baby proof this bookshelf?

We have the Sloane leaning bookcases in our living room, near where C plays. They are anchored to the wall, and I don't leave her in there alone for long, so I'm not too worried about climbing (yet). But the corners of the shelves jut out and she has already pulled herself up on them and slipped-- didn't hit her face, but could have.

What do you recommend? I don't think the corner cushions would really fit, but maybe? Or just the roll of cushion tape? I'm also afraid those will just be something fun to pick at and end up being useless...

Here is a picture of the shelves for reference. You can see the bottom shelves where the corners jut out.