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You want a 8” tall filter with a good 8” fan to pull the air through it but if I was you I’d have 1 600w hps light covering a 1.2-1.5 square meter area 2 m is pushing it abit you may want 6 1000watts for that 🙏🏻
It would be possible - for ventilation it is LxWxH to give your volume in cubic meters, then you want a fan that will pull that amount of air every 3 minutes.
I would use LED rather than HPS for temperature concerns.
Good luck!