The puddle in the air box is likely from gases and blowby from the crank case breather. This is a common no cost option on GZs and most other engines.
Just kidding about the option part.
You can drain the excess from the air box using the hose that hangs down from the box to below the bottom of the frame. It will have a plug in the end of the hose. Pull out the plug, drain and replace the plug.