thanks so much for the reply Elbert. Was it recently you did this? I am very familiar with the import permit process with BAHA and do this already at least three times a year.
There is a new "dog passport" which they just started 2 months ago. It is a document you carry with you when traveling so you don't have to re apply for the import permit to enter Belize each time and the permit to exit Belize and enter the US.