I have never hear of, or seen 음료식 written. But I can guess that it tries to describe 죽(porrige) in another way. Because 음료 means 'beverage' which you can drink easily without chewing. And 식 means 'meal/diet'. So 음료식 refers to a type of meal you can have without mastication. But as I said, I've never heard of it. Maybe some doctors or dietitions would use this term.

네, 감사합니다

There is a word that sounds like "음료식" (that is) used to refer to "죽" (porridge). (I know) it's not 음료수, but I don't know exactly how it's written. Someone please tell/help me! (Just trying to help, not be rude :))