TL;DR i can use maths to prove that unless the cable near the ground is REEEEEEEEEEALLY heavy, this save is 176,926,000m above the surface of the moon (or less depending on the mass of the superdense counterweight)
since this is visibly at the end of the cable it must be a >/= 1g counterweight, meaning the cable extends to twice the geosynchronous radius or less (more and it would fly away from the planet)
so you're telling me that this is actually the counterweight part of the station? (space elevators have a 0g station at geosynchronous altitude and a counterweight experiencing innertial force that stops the weight of the cable pulling it into the planet)
understood, but the sphere at the centre is hypedense, filled with superheavy elements for the reactor.
If you intend this to be done realistically, I suggest adding an asteroid at the top. All current studies about a space elevator include a massive counterweight at its end, which would keep it in space. If not for it, the tether would simply fall back, but a big mass at the top holds it straight due to centrifugal forces.