You craft all obtainable items from that point (including the arch), and then he'll give you the Zipper toy DIY. Once you craft that as well, he should give you the wand. I'm working on crafting the Zipper Toy now, so I'll report back in a bit!
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Yup! Can confirm, after crafting the Zipper Toy I got the wand recipe
Sorry guys I'm stupid, I realized my last needed item was the arch. For some reason it wasn't appearing under seasonal furn. so I figured I had everything and was losing my mind. Haha I got everything now.