Operation INFEKTION was a KGB disinformation campaign to spread information that the United States invented HIV/AIDS[2] as part of a biological weapons research project at Fort Detrick, Maryland. The Soviet Union used it to undermine the United States credibility, foster anti-Americanism, isolate America abroad, and create tensions between host countries and the U.S. over the presence of American military bases (which were often portrayed as the cause of AIDS outbreaks in local populations).[3]
Yes, they have decades of experience there.
The Soviets were also active in planting stories casting doubt on the Warren Commission, and suggesting the involvement of right wing conspirators in the assassination of JFK.