Please do not call your event something like "Advent of Code Golf"; this makes it look like an official Advent of Code event. "Advent of Code" is a registered trademark in the United States. You can call it something like "Code Golf Advent Calendar" or "Santa Golf" or "Christmas Code Golf" or "Code Golf December 2022".
Eric apparently has a trademark on the phrase "Advent of Code" and has decided that us calling our event "Advent of Code Golf" makes it sound like we're affiliated with him (which we're not, of course). After asking in the Law.SE chatroom, it seems that the best course of action is to rename the event. So the big question is:
What do we rename Advent of Code Golf?
Strictly speaking, we probably don't have to rename it. But I am, of course, not a lawyer and doing the rename is definitely the safest course of action. So, if you think you have a good name (or object to the rename) please post an answer to this question.