co2 and portable ac

Hey guys first post, not really having any issues.,currently running a for positive pressure sealed room. However I've combed the web and can't find a good negative pressure system, however I think I have a way just need some feed back.,...

System would be as follows.

Scrubber inside room>variable speed fan exiting room>duct T that connects to portable ac fresh air in>small 4 inch inline pullin into ac>portable ac back inside room. Am currently using a 14k btu duel hose ac that doesn't draw from tent at all(no co2 removed) my question is do you think the co2 will recycle through the grow ac.
 
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