Just to add an option u could consider... to Lima, there is LOTS of availability for 2 rewards seats in AC Business for the YYZ-BOG leg, then AV BOG-LIM.

Infrequently there a 2 reward seats on YYZ-LIM direct (eg 20 Jun), but mostly just 1 at a time, but check, seems to change a lot, it u might get lucky.