Your high pat is definetly good to have, but im not sure if it counts more then the AA or Ts...Although some may feel that if your pat is high you will have less problems working in the mouth.
AA and TS are definitely more important than PAT because most schools just want to see your PAT at or above 17. And of course you wouldn't be jumping off the page with your 17 AA and TS. You would want a 19+ on both to look competitive.