I remember coming across this back when it was happening. A guy, running a data centre was staying in the building to keep it all up, from what I remember. He eventually got a web cam up to film the street below. The vids have gone but someone on reddit found the blog
https://interdictor.livejournal.com/2005/08/29
A snippet in case it ever disappears
“August 29th, 2005
Ok, lots of creaking now. The blinds are rattling. The trees in Lafayette Square behind us are all still standing. We’re getting very light power flickers now — infrequently. Not even enough to reset the computer, but just enough to dim the lights for a sec. I’m gonna step outside on the 11th floor balcony and get a feel for the wind.
For those of you who haven’t been reading this, I’m on the 10th/11th floors of a 27 floor high rise at 650 Poydras in downtown New Orleans. If you go to Google Earth or some other map program, we’re the big brown building between Poydras ave and Lafayette Square and between Camp Street and St. Charles Ave. We’re about 6 blocks from the river. We have a view (in the daytime) of the river, the twin spans over the river, the interstate, the Entergy building, the landmark building, the federal court of appeals building, a bunch of hotels, etc.
Welcome to ground zero.”