You're proving my point about your definition. It's too loose, and defines more than just art.
"Art has to be communicated somehow to fulfill its intended purpose."
There are huge, impressive, statues robbed from the Miiddle East in The British Museum, which are 4-5000 years old, where we don't know the intended purpose, nor the cultural context, does that make them 'not art' because we can never know with certancy what the intended purpose of these statues were/are? What about cave painting? Which is arguably the birth of art (although probably there was a lot more neolithic art done on more perishable mediums, and some of which may predate that). We can only guess at what it was communicating, or what its intended purpose was. Are these cake paintings art?