There are tables perfect for that! Just be wary you might have some uninvited guests (lol) because the park isn't that big. And knowing children once they see cake they'll run for a piece. Plus theres alot offlies and mosquitos so you'll be shooing them away quiet often. I hope it all works out!
I don't think you have to worry at all. Unless you make some giant event with loud music and lots of people, you'll be fine.
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