Loose Pin Hinge
The loose pin hinge will probably be your best friend, here. How good you want them to be will likely depend on how often the set will be used, and whether you plan on pulling them off and using them on new sets.
Avoid buying from theatrical supply places, they charge way too much. And/or avoid buying from non-theatrical supply places, their hinges won't be up to snuff.
You can also, perhaps much cheaper, create something similar with eyelets and rebar. Or taking regular hinges and replacing the pins. Or if you work in a school, the people in shop can likely whip something up for you.
As well as tear-down, the hinging can also allow for sets to be folded or rotated to one side, making for a super-fast set change.
A brace on the inner, concave angle can provide some extra rigidity and keep the leaves from folding together while in use. If that side's facing the audience, you can have the brace be a matte black stick across the top, with holes either end to slot onto bolts sticking up from top of the flat.
Generally speaking, though, this is likely over-engineering for a short run, and G-clamps are the way to go.
(via via https://www.gerriets.com/us/triple-e-loose-pin-hinge)
(via via https://www.theatrecrafts.com/pages/home/topics/scenic-stage-design/flats-types-methods/)
(via via https://www.musson.com/loose-pin-hinges.html)