Soap is just soap when any claims about it remain in the limited realm of "it's made with fat + lye and it gets you clean". If claims for the soap go further than that, then the FDA says it's a drug (something that provides medical/health benefits) or a cosmetic (something that makes you feel or look better).
A claim about acne fighting ingredients would turn the soap into a drug according to the FDA, with requirements for proper drug labeling and also with the responsibility to show scientific justification for the acne-fighting claim. A claim for "detox" is also a medical claim, and you would want to be prepared to defend how the soap provides a "detox" benefit. I realize many people make all kinds of crazy claims for their soap and hope they are able to fly under the FDA's radar, but if a person gets reported or caught, I gather it can be an uncomfortable experience.
Anyways, you've made a handsome looking soap that I'd be proud to sell as just plain 'ol soap ... one that just happens to have AC in it.