m0useanswered grow question 3 years ago May only need fans pushing air though it vs AC, depending how much heat is being generated and the power of the ac unit BTU's, it might be overkill.
I'd still have different fan going as you don't want to rely on the ac's fan to be an air exchanger, Its recycling air and cooling it, not introducing/pushing fresh air. Its also not designed for that purpose so just won't be that good. Almost better to run it outside the box and let the extractor pull in the cool air and then vent outdoors, more even and avoids cold spots in the tent.
Good Luck!