So, just to confirm, cranes are nearly never erected in elevator shafts. That had been my assumption early on too, but then we started touring buildings under construction, and have covered that fact on many building tour stories. Buildings need their elevators constructed as close to topping off as possible, and the cranes may still be around for a while after that. So, they get built in another spot, a hole is left in each floor, the cranes get jack higher each half dozen floors or so, and then the newly freed-up holes are filled in.
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