Well, first, sorry for you. Second, what LAN number are you calling? Third, do you now know what the correct KMs are on the charts?

Edit: Checked the charts... looks like 10000 in turista (distance 1254?), if so, 80K rtn for 4 is the correct redemption charge so you will be stuck with that... no matter what they said before, no matter if you heard it from the President himself, LAN staff ALWAYS go by the book (and hide behind the book, no matter how many bads occur before).

Do not necessarily jump to the conclusion the agent cut you off, some LAN lines are notoriously unstable and do regularly cut off (as you seem to know, by giving your number to them at the start of the call). What numbers have you tried?

Hmmm. No use trying to fight to get it at 48k, likely a waste of time, you will not easily find someone at LAN willing to say they made a mistake let alone offer compensation.

Solutions? Can you expedite the Starwoods transfer somehow? Buy the missing KMs?