I have been working on some scale drawings in 2-dimensional CAD software and came up with a way to build the main branches. There would be four branches—one for each compass direction—and all of them would be similarly constructed. Alone, each would fall outward, so they would need to be tied to the mirrored pair to balance it.
The branches would be built in segments that could be prefabricated and brought to the Playa for final assembly. The assembly could be done by hand, using only simple pulleys and winches to lift the branches. By working in mirrored teams, the branches would counterbalance one another. As they are winched off the ground, the next segment could be attached, continuing in this way until they are fully hoisted into position.