I agree with other answers.
On the one hand, you should not be concerned about any specific other student who is applying to the same university. Any “large public university” has a large number of spots for incoming freshmen. You are competing with thousands (or maybe tens of thousands) of other students for admissions. One more student plus or minus from your high school will not have any significant impact on your chances.
Also, if I read this correctly, you are not competing for a spot on the athletic team. Athletic recruits will be considered separately. There are a limited number of spots for athletes on any one specific team. This is not what you are applying for.
Finally, since this is an out of state public university, you should pay attention to your budget, and it sounds like it is not a safety. You need to also be applying to universities where both admissions and affordability are extremely likely.
As one example, I attended a high school that as far as I know had only sent one single student to MIT in the entire history of the high school. The year I graduated two of us went to MIT. MIT did not have any “at most one student and probably not that” limit for our high school. They just had not had two strong applicants from our high school at the same time in the past. Each school looks at a long list of applicants, and makes their choices. Similarly, it is entirely possible that this out of state public school might, just this year, accept two students from your high school. You will not know unless you apply.
However, definitely also apply to safeties, and keep your budget in mind. Of course these same guidelines apply to every student.