@Stephen *******
Thanks for explaining. I would buy a ticket out of the country, if necessary, to deal with this.
However, in order to proceed with check-in, Eva Air wants me to provide "the type of document you will use to enter the destination country."
When I click down on this, it only offers the option of a "paper travel visa" and wants me to enter the following:
"Document number
"Document expiration date"
-" Document Issuing Country/Region"
It's spooking me because I did not expect this and I'm not sure what I can do at such short notice.