Long time poster, posting as a sock for what I hope will be obvious reasons.
I always have to chuckle when a parent or an applicant asks "Will [minor infraction] keep me/ my kid out?"
My story: I attended USNA in the not-distant past. During one of the Republican admins, as a young stupid dork growing up in a liberal family, I called the White House switchboard and said, "Someone should just kill President ____ and get it over with." Mind you, I was 13, too young to really feel this way and obviously too stupid to understand what would happen next.
You guessed it: the Secret Service showed up at our door and talked to my parents and me. Put the fear of God in me. My dad made me sleep in a tent in the backyard for two weeks while I learned to appreciate what I had and how everyone regardless of politics or religion deserved respect and civility.
Fast forward 3.5 years and I'm applying to USNA. "Have you ever threatened the President or to overthrow the government of the US?"
Handled it with my BGO, told the truth, had to answer a few other questions, got in.
Note I do NOT recommend anyone try this! However, kids are exactly that. They are impulsive and they lack any sort of understanding of the full consequences of actions like this. Tell the truth, report only what is asked (don't volunteer), do not dismiss or minimize (hello Brock Turner's dad, I'm lookin' at you), and rest knowing that one event of childhood is vastly unlikely to overrule a whole young human being with four years' worth of grades, test scores, athletic results, and recommendations.