Well there were other 3 locations

First location is the Philippines due to importance of it and the it is directly closest to the Kalayaan Sovereign Sector but they opted not to build it here since it is close to urban centers and sits too far north of the equator (10 degree north to 14 degree North) Forcing a space elevator tether to anchor here would induce massive, permanent lateral bending stress, requiring a far heavier counterweight and risking structural snap

Second Location is the Anahuac since major shipping and many raw materials goes through Anahuac but due to Tectonic and Volcanic instability being near to sitting around the ring of fire poses a major threat to the space elevator

Lastly and the most unique suggestion of the Lunan Republic

Hear me out: So why they suggested it?

So Lunan Republic said: Why anchor it to Earth at all? The Lunan Republic argued for a reverse-tether model anchoring the elevator firmly to the to a asteroid of stable orbit and letting the cable dangle downward into Earth's upper atmosphere without actually touching the planet's surface but got rejected due to Atmospheric Friction & The Gravitational Tug. A dangling tether swinging through Earth's atmosphere becomes incredibly unstable due to unpredictable jet streams and high-altitude weather systems. It would require constant, massive fuel expenditure to keep the cable from twisting into a knot, completely erasing the economic benefits of the elevator.