I think it can be slightly closer to you than that. The cup is wider at the top than the bottom, which means when you tilt it over you are removing some liquid

I think it can be slightly closer to you than that. The cup is wider at the top than the bottom, which means when you tilt it over you are removing some liquid from a narrow part of the cup and adding an equal volume of liquid to a wide part of the cup. That means the level drops slightly.