One report I read talked about 3 people disappearing, all residents of a house that used to be there. Tragic.
The next question is, how do you "fix" a sinkhole. Even if that pit had a bottom, that is a lot of dirt to move and dump to fill the hole. But by definition, that pit is in effect "bottomless" ... All that dirt in the hole was carried away to somewhere else.
Instead of fixing it maybe you relocate the local residents and businesses, reinforce the sides of the hole, and open up an amusement park for thrill-seekers. Bungee jumping into the void, tightrope walking, an observation deck with a glass floor. You could build all these things without having to actually build a tower.
Best of Luck to the residents and businesses in the neighbourhood. I can not imagine living near that thing. And now I'm off to check our backyard for any suspicious subsidence issues.... it's been raining a lot here lately.