Remember that there is still a lot confusion because of the implementation of LAN/TAM fusion. If the next time you have any issues, you might want to call again before speaking to manager.

By the way, in some cases buying normal LAN tickets is cheaper than the airpass. Normally LAN's international tariffs permit stopovers and the acceptable routing can be quite strange. For instance, Lima-Santiago-Lima with stopovers in Sao Paulo and La Paz.