OK, called Keelung DMV as they are working today and signed up for a test next Wednesday. If you’re a furriner you need to make an appointment by phone or in person, you cannot use the online system which they insist you must use.
I’m going to ignore the fact that the check website in English at https://www.mvdis.gov.tw/m3-emv-eng/public_en/roadTestEnResult does not confirm that I have an apppointment…