What about https://en.wikipedia.org/wiki/Turkish_invasion_of_Cyprus ?
WWI, WWII, the French and US involvement in Vietnam, the Soviet and US involvements in Afghanistan, etc. have long demonstrated that the modern wars aren't all 'short and winnable'.
Though the 1990–1991 Gulf War, plus the US invasions of Grenada and Panama, may have helped re-foster that view in the US.