Joint with Prior Convictions

I am 24 (male), thinking the Navy/Coast Guard would be a good fit for myself/ new family for multiple reasons. My problem would be the differed sentence I am serving for public intoxication/AB on an officer 3 years ago. Probation ends this month, meaning I’ll be eligible for enlistment. Be real, can I get a waiver for something like this? Or is this a pipe dream that I need to move forward from? Thanks for the input.