Ballast and Light bulb

So I have a 400w ballast and a 400w hps lamp, the tent size is 1.2 x 1.2 x 2,
I have a 3x3 tray and ill be growing 3 plants when my seeds arrive, I know hps has alot of heat and I may just buy an air cooled lamp as summer is coming. This is a lil pic of my setup atm just want to know if the watts is good enough not to burn the plants but to produce the correct amount as needed. In summer it will get crazy hot, will the air cooled lamp be okay?

Alrightyyy thenn… lol