Do I need a criminal record check from both the US and Thailand for my ED visa application in Penang or KL?

ED Visa Application in Penang / KL

I'm in process for an ED visa and was told to go to either Penang or Vientiane. I'd prefer Penang. The KL website checklist says i need a "Certified criminal record in the applicant’s country of origin or in Thailand(for private course/program provider only"

Does this really mean I can come with EITHER an american OR a thai criminal record check? And I do NOT need both?

I have already tried emailing the embassy directly and they have returned a mass, form email that doesn't answer my question.

If anyone (especially americans) has recently applied for an ED visa in Penang or KL, I'd love to know what documents you had. If anyone knows for sure what I need, please do share :)