Lighting / Ventilation for new setup

I've been reading threads , journals , research , and watching videos trying to figure out what would work best for a 3x3x7h insulated grow room. The area illuminated will be a 2x2 dwc with 8 autos. I am looking at the inda-gro pro- par- 200 (not sure how much penetration these have), 400-600 watt hps, or possibly a gavita light. The room will have a carbon filter and decent ventilation. I'm mostly worried about heat because I'm not used to such a small space, but had to downsize immensely. I was leaning toward the induction lighting (minimize heat ) because I wanted to run CO2 so I wouldn't have to constantly run the exhaust, but I don't want to sacrifice yield.

Any advice for this size grow room will help. Thank you.

6" ventilated hood, pull air from outside thru the hood, blower then out of area. No exchange so CO2 isn't blown out. Watch out for massive humidity issues.

Anyone else ?

well a 400 will barely cover it, and 600 will cover 3 more sq.ft that is 12' so you
could either shrink or expand it a bit depending on light. I have an induction
lamp which i still have not used, I will use it in summer for the first time but
thats a long way ahead, i've heard and still believe that it will not surpass HPS
in yield / watts but I decided that it is worth the try especially that i got myself
a good lamp for very cheap. IMO CO2 on such a small grow is not worth the effort, but thats your call, and if you want to use it you will need more watts, so more heat, + sealed room, theres just no way you will have this room sealed with 600w in cool temps without AC IMO except if you live in antarctica, even then, i'm not sure lol