I have the fat psp with 3.03oe-c and i want to know if i can play the new games for 2008 without upgrading it?

i want to get new games (umds) but im not sure if it will tell me to upgrade it and i dont know how to upgrade custom firmware

I have the fat psp with 3.03oe-c and i want to know if i can play the new games for 2008 without upgrading it?
You have you upgrade to 3.80 custom firmware, oops sorry, you are goin to buy the UMDs, if the game needs an upgrade the game will have it, so dont worry about that