Originally Posted by
Kiwi Flyer
LAN Ecuador isn't yet a member of One world. Unless it is a specified non alliance partner of AAdvantage (I don't think so), you will not be able to book awards on LAN Ecuador flights until 1 April.
It's been allowed for several months, see
this page:
Also earn and redeem miles on LAN Affiliates LAN Argentina and LAN Ecuador
I suggest the OP calls again and tries with a different agent.