you cannot apply for a resident visa based on work without a work permit already issued.
https://www.boca.gov.tw/cp-166-276-48430-2.html
if you have read through this forum, you may know coming on a visa exemption, getting a buxiban job, and getting an ARC is what many people are doing.
If you want to get an assurance, just call or mail and ask to a headquater of NIA or BOCA in Taipei, not to the lady in a TECO nor to online strangers here.