walk in closet grow room

So I just started a grow room in my walk in closet it is about 5 feet by five feet and 8 feet high. I have two 600w grow tubes however only one is on right no. A 6 inch vortex fan, As of right no the exhaust form the lights are going through the ceiling of my apartment where the light fixture is and the intake is coming through the door. I am about to start flowering and am thinking of turning on both lights my plants are pretty big so i think its needed I have about 6 two are about 4 and a half feet and the other four are about 2 and a half. I am relying on the temperature of the bedroom to bring in cold air to keep the room cool enough, but with the extra light I might need more, i can't put an ac unit cause I need a window, and in door ac are to expensive. Please give all suggestions. I am thinking about outtaking through the door as well but it might warm that air up. also ideas for an in take and outlet for air and carbon exahust

I have a similar walk in closet same demensions (yo dude do live in my complex lol) I have a 400 and 600watt vented out via the door, I thinking about cutting a hole into the ceiling venting it up there. I recdntly put in a portable A/c because it just got to hot in there (effected my bud bad) I got the A/c from HD it one of those that you connect the exhaust via a hose to a window. What I did was build a shelf up high on the corner of my flower chamber(5x5). I then put the a/c up on the shelf(its pretty heavy) and cut a whole in the ceiling so I could vent the hot air inbetween floors IT WORKS FUCKING GREAT. The reason i put the A/c on a shelf is so I could have floor space for plants, i actually have few shelfs for where i put my ballast and a shelf for a bucket that collects the water that comes from A/c/dehumidifer, I would suggest you shell out the 300$ for an A/c I promise you won't regret it, you never ever have to deal with heat issues, mine suffered in 85 to 89 degree