The so called “paranormal arms race” was nothing but a big waste of time and resources. As a matter of fact the CIA has spend/wasted millions of dollars on these overly-ambitious projects that more often than not were absolutely flawed (and never produced any tangible results). There are no paranormal phenomena and I am 100% certain that if they put me in a room with any of these so called psychics I’d be able to debunk them. I can make this claim because I debunk magic tricks for a hobby.
If paranormal events were real people with said powers would’ve claimed the one million dollar prize that was offered by the James Randi foundation by now. But reality tells us a different story; many people have tried to claim that prize and every single person to date failed (over many decades). Reason; they were all shysters and got exposed under stringent observation in a controlled environment. Go figure.
FYI; Nina Kulagina used hidden magnets for her parlor tricks.
There are of course other ways to make things float but I highly doubt that she had the background in science and engineering to create such an apparatus.