An AA degree does give you priority admission over transfer applicants that don’t have an AA.
The biggest issue is that the program you’re trying to transfer into is a limited-access major, and has more stringent requirements than just a 3.0 GPA.
I’m confused though why your cumulative GPA is a 3.11 but the “transfer” GPA is a 3.33. FSU looks at your cumulative GPA as well as the GPA at the most recent school attended, but requires transcripts from all colleges/universities attended. If you did particularly poor at one, it may be a red flag, especially in a limited access program.