Years ago I bought a brochure at the tower gift shop that listed a bunch of nerdy stats about the tower, including heights and measurements. It stated that the "top house" - the structure at the top, is 76 feet tall. Considering that, the antenna is easily over 100 feet tall. The tower's shaft is 45 feet in diameter, and the concrete shaft is 605 feet tall, though, some of that is concealed within the top house. 605 feet just so happens to be the height of the Space Needle in Seattle to the top of its antenna.
They also have that info on the tower's website now.
https://www.toweroftheamericas.com/history/
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