It’s not. I don’t have data on your light, but I will share what I do have.
A Phillips green power 600watt hps bulb has a ppf of about 1100 umols per second. In a 2x2 that’s a ppfd average of about 3,000 umols per second.
The information I have on recommended light density levels suggests that on ambient co2 you hit point of diminishing returns with a ppfd average of around 800 umols per second. Light saturation levels on ambient co2 run around 1000-1200 umols per second ppfd average. Boosting co2 can absolutely change that, to some extent. But even taking co2 up to something like 1500ppm light saturation levels are seen around ppfd averages of 1400-1600 umols per second.
Maybe your light isn’t quite that good, and there’s some wiggle room within me not having most recent or accurate data. But I’m sure I’m not off by double. It’s simply just exceeding the capability of a plant or plants that size to produce. The cost of running the equipment won’t pay off in what the area will yield.