Disassembling a tarp lean-to

I’ve built a tarp lean-to and would like to disassemble it to get the tarp back but I can’t find a way to do it. Do I need to “deconstruct furniture” for that? I don’t carry a screwdiver for that, and it doesn’t make sense to need one for this case. Can someone elucidate me please?

Deconstructing terrian/furniture is royally fucked. Some things like pits have reversal recipes, but those wouldn’t allow returning the materials that went into making them, so they have to use deconstruct instead.

That’s a shame. Thanks for the clarificarion.