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ethanshredzDefinitely not just cosmetic, you'll want to get that fixed ASAP. First thing to do is to let the skis dry out indoors for at least a couple days to ensure you don't have a core full of water. From there you've got a couple options. For a quick 'n' dirty fix, fill the void with epoxy and clamp it all up with plates or scrapers sandwiching the ski. Leave it clamped for at least 24 hrs and ideally give it 48 before skiing. A more permanent fix would involve getting your local shop to do a base patch, which should in theory be as durable as any die-cut base graphic. Use a shop you trust, or ask to see some examples of their work.
ethanshredzMy approach would probably be to use duct tape to make a little 'bathtub' around the void, then overfill with epoxy and hit it with a hairdryer or heat gun until the epoxy soaks in and air bubbles stop appearing. Then just clamp the ski around the damaged area so that it doesn't delaminate and the epoxy has a chance to bond everything together and seal it up. I can try to draw some diagrams or something if this is hard to understand hahaha.