Final answer:
The official salute of the New Mexico FFA Association is not specified in the question. Without additional context, we cannot confidently name a specific gesture for the salute that is associated with the New Mexico FFA.
Step-by-step explanation:
The official salute of the New Mexico FFA Association is represented by a hand gesture that reflects the organization's agricultural roots and commitment to leadership development among youth. While the specific motion of the salute may vary, it is often connected to FFA values such as teamwork, dedication, and honor, resembling salutes observed amongst various FFA chapters around the country.
However, the question does not provide enough context or information to identify a particular gesture as the official salute. A reference to the Farmer's Alliance flag in the provided information hints at historical sentiments related to agriculture but does not directly clarify what the New Mexico FFA Association's salute entails.