When does officer training in the Air Force begin?

I submitted my application two days before the application deadline (March 31). I'm applying for a transport pilot position in the officer career path. According to the internet, training usually begins on July 1. Since it's almost April 1, and I have to go to Cologne for an aptitude assessment and then to Fürstenfeldbruck for a flight aptitude assessment (duration: one week), this program seems rather tight. Especially since it's said that it can take up to a few months to get an appointment for the first medical examination.

Has anyone ever had similar circumstances and can tell me how and when everything happened? (So I can get an idea)