score:4
While this may be my personal experience, it can help others, so I'm posting the answer to my own question.
It all worked out well. I had plenty of time to do everything. I even had a problem with one of my luggage that was lost in Santiago, I had time to wait a lot for it and to register a complain with the company.
It's not a very big airport, 2h40 is enough unless everything goes wrong for you.