Fiber Cement Panels
The screws meant specifically for fiber cement siding are special order only.
Right now, I think we need something like this (but I need to more research to confirm):
https://www.fastenersplus.com/products/8-x-1-1-4-steel-fiber-cement-screw-316-stainless-pkg-1000
For now, since this is a temporary structure, I think we can use screws meant for cement board. As far as I can tell they're identical to the siding ones in shape. The only difference is that they are not corrosion resistant (they're made of steel). I think this is fine if we don't intend to leave the structure out in the rain for long.
Menards has these in stock which look right to me: https://www.menards.com/main/hardware/fasteners-connectors/screws/cement-board-screws/grip-fast-reg-9-x-1-5-8-square-drive-cement-board-screw-5lb-box/229-4348/p-1444445201421-c-12989.htm?searchTermToProduct=2294348
Other cement board screws in stock at menards: https://www.menards.com/main/hardware/fasteners-connectors/screws/cement-board-screws/c-12989.htm?queryType=storeItems