Being a short opinion (2 pages), you could read the entirety of the New York Appellate Division’s decision in Eisenhauer v. County of Jefferson, No. 14-00510 (Nov. 14, 2014) more quickly than we could summarize it.
But yes, the taking of private property for expansion of the runway at a public airport is a public use.
Eisenhauer v. County of Jefferson, No. 14-00510 (N.Y.A.D. Nov. 14, 2014)