Can I get into Tulane with a suspension on my record?

My sophomore year in high school, I made the mistake of plagiarizing and cheating on an essay which led to a one day suspension. I have made amends and learned from my mistakes but I am worried that it will drastically affect my Tulane admissions since I want to apply Early Decision. I have a 3.85 GPA and a 31 ACT but I am afraid that it will be the reason I get denied. Any help would be greatly appreciated.

If that is what would get you denied ED, it would also get you denied RD. So go ahead and apply.