Off gassing dresser

Hi ladies this might be a silly question but I need to ask. I'm 34 weeks pregnant and our babies dresser my husband and I built had an awful smell after we put it in the nursery so we decided to put it outside on our patio. Well our bedroom A/C is right above where we put the dresser and we have it on constantly (we live in Hawaii) I'm wondering if this will hurt my baby if I'm inhaling the smell through the A/C. We have no where else to put it. I can't necessarily smell it but I've been waking up with a cough and am wondering if it's from that. Would love some feedback as I'm a FTM and don't wanna harm our baby girl. Thank you

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