Hey Tucker. I've done a somewhat similar thing and am now facing the issue described by Ronald Eyma. I have two undergrads in architecture and am completing an MSc in engineering management, however I'm facing professional registration/licensing issues in the engineering side of things due to not having an engineering undergrad. That is definitely something to be highly conscious of.
To add - I think doing an engineering undergrad at your age would still open great many doors for you in terms of role eligibility.Since you have a bachelor of arts though, have you considered researching a course like Architectural Engineering? You may be able to score credits for 1st/2nd year from both the bachelor of arts and the foundational maths/sciences courses, assuming they are most likely accredited.