I’m not sure, but it might help to see a pic of the whole opened thing. These Asian parasols come in different shapes, and there might be different regional styles, too.
Here are some pix I took of it when I opened it last month. It had been stored in heat at some point and was melted shut. Took an hour with a heat gun to get it to open.
https://i.ibb.co/nzXdx8H/image.jpg
https://i.ibb.co/n8tZQZ2/image-1.jpg