What is a word for partaking in art?
Solution 1:
What about experiencing? An experience is
an event or occurrence that leaves an impression on someone
So it can describe the act of being moved by any piece of art--be it food, music, visual, or something else.
Solution 2:
Generally I think appreciate is used in this context, but without coupling it to "enjoy" since as you mention "appreciate" rather implies enjoyment already.
I want to create art that I also appreciate.
If you are determined to keep the "enjoy" in the sentence, you might say
I want to create art that I also enjoy reveling in.