Is there a particular policy that’s been released other than the standard
DoD Instruction 6130.03? In that it states:
“It is DoD Policy to...
c. Ensure that individuals considered for appointment, enlistment, or induction into the Military Services are:
(1) Free of contagious diseases that may endanger the health of other personnel.”
The USNA Admissions page says “Based on what is currently known, the vast majority of young people recover without medical issues. In this context, there are no plans to deny admission to individuals who are diagnosed with COVID-19 and recover.”
Based on all that it sounds like if a future Plebe has covid but recovers, they’re fine, but if they currently have it, they could be denied appointment. I’m bringing this up because it sounds like OP’s question is a hypothetical, but certainly if somebody has concerns about their specific case they should call DODMERB directly. With the testing infrastructure in this country still lagging, it seems unlikely that any candidate would be tested in the first place unless they’re exhibiting severe symptoms or had close contact with someone who did, in which case their health is far more important than maintaining medical eligibility for an academy.