So here's what I did to get the avatar.
1.Deposit all your items in your inventory into your SDB
2. Buy a Imposter Apple from the shop wizard.
3. Now whenever you go to play the Apple Bobbing game make sure you only have the Imposter Apple in your inventory, so if you do get the event where you lose a item the only item for the game to take is the apple thus giving you the avatar.
Link
Apple Bobbing
Also if this helped you be sure to rep!