Looking at https://en.wikipedia.org/wiki/Academic_Studies_Press I think they are legit and genuine. Looking at for example one of their journals “Evolutionary Studies in Imaginative Culture” is indeed a collaboration with a trustful partner (Walter de Gruyter): https://www.degruyter.com/document/doi/10.26613/esic.1.1.1/html
So, if you are sure that the e-mail comes from them https://www.academicstudiespress.com , I think it is a safe choice.