My situation is that I currently have 90 days "visa exempt", but I am working full time (teaching English at a university). I have been in Taiwan for more than 10 years, and for most of those years, I had an ARC for either the whole year, or at least 9 months out of the year. However, this year is an exception because this year, I have had no ARC for more than three months. What happened is I went back to the U.S. in July this year (during my summer vacation), and then my school contract expired on July 31st, when I was in the States, and by the time I came back to Taiwan in August, the school still hadn't yet issued a new contract for me. So when I came back to Taiwan in August, I had to get a 90 day "visa exempt" stamp. So now the amount of time that I have had no ARC has been more than three months (August 1st to now). So could I still apply for an APRC using the rule that I was qualified during the last two years, even though I currently do not have an ARC?
I'm getting nervous because I arrived here on August 23rd, so the 90th day will be November 20th, which is next Wednesday! So I have to either apply for an APRC right away, or otherwise apply for a 60-day Landing Visa. (Or I could also make a visa run and come back to Taiwan with a new 90-day "visa exempt" stamp, but I'm trying to avoid that.)
Unfortunately, I found out that I can't apply for a new ARC because my new contract is for only six months. (In the past, my contract was always for one year, but I will quit my job at the end of this semester, so that's why my contract is for only six months.) According to a woman at the Foreign Affairs Office (wai4 jiao1 bu4), I can use my six-month contract to apply for a 60-day Visitor Visa, but I can't use it to apply for an ARC.
(I'm sorry if this sounds very complicated.)