Teamed network cards only work when set to Fault Tolerance mode
A Core server can have two different network cards on it. But it will only work when they are set to Fault Tolerance mode.
There are two other methods of teaming the cards together that don't work: load balancing and having the nics on different subnets. When they are not configured in Fault Tolerance mode the traffic can come across two different addresses and LANDesk may not pick it up.
If you are going to team two nics together make sure they are running in Fault Tolerance mode.