I finally got an answer from someone at the schools who understands the program.
As it turns out, what it means is that you are conditionally accepted into the 4 year school. After you graduate from the 2 year and have a certain GPA you are automatically admitted to the 4 year and all the credits transfer. It is not until that time that you then become a ‘student’ of the 4 year school.
So, I’m guessing since you are not ‘officially’ a student at the 4 year that if you graduate in the Fall you would not be eligible until the following year for baseball. I am still waiting for a response to that question from the schools.