I think you’ve left out a very important component:
Demand.
Are people just itching to live in a space high rise where (according to the article) the only way to leave is by parachute? IOW, who wants to live in a minimum security prison?
Regardless of the technical hurdles, wouldn’t the very first question be ‘why build it?’.
Since there is no good answer to that question (last I checked we’ve got plenty of office space without tethering a building to an asteroid), I am a gazillion percent certain this will never be built.
“If you build it, they will come.”