score:11
The airport has a handy online guide for this. I filled out the form using the information from your question and you don't need to pick up your bags (get them tagged to SJO when you first check in) or go through immigration. You will use a kiosk and swipe your passport. You will not have to change terminals. All of this adds up to 1:25 being plenty of time, even if the incoming flight is slightly delayed.
Note that while you are changing airlines, they are in the same alliance, so they are very closely connected. Transferring luggage is more streamlined, you don't change terminals, and so on.