To go even further with this and the distinctions between the academies:
A. To be an "eligible school" IRS says to look at either the DOEd accreditation list or the DOEd's student aid list. See https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/eligible-educational-ins....
B. The two DOEd lists are different. While all service academies are on the accreditation list, only USMMA is on the student aid list.
