I’m very sorry I missed the above question! I hope this isn’t too late to help you. I also hope that the information quoted below is adequate and accurate, because I don’t have firsthand knowledge of these issues. Anyway, the below stuff is what I stumbled upon. In the quote below, I tried to stick to what I thought pertained to your situation, and again, I hope this helps or at least does no harm:
(Boldface added by me.)
As far as I can tell, the National Immigration Agency link that was included in the above answer was dead, so I Googled “健康證明應檢查項目(乙表),” and got this PDF document:
https://www.immigration.gov.tw/media/44665/健康證明應檢查項目-乙表.pdf
Re-pasting the link to the above-quoted asking and answering posts:
Moving family to Taiwan and Applying for Household Registration - #98 by cherrim
If there’s anything inaccurate or inadequate in my attempt to give information, I hope that a more knowledgeable person will correct it or supplement it.