Quote"A player may discard an upgrade already on that character to reduce the cost of the new upgrade by the cost of the discarded one." -Rules Reference SWDestinyDB
The upgrade "Training" does not technically provide it's own dice, so would the dice be made to go away if you were to replace the upgrade with another? If not, this would mean that the upgrade Training is no longer on them but the character is still "Elite". If so, I'm assuming you get to choose which dice goes as with other upgrades with the same dice on a single character.

Thanks.
Edited by customerserv1ce