How do you get the Lupine Battleaxe Icon?
It came in a bundle. Riot's description in the client reads: “Exclusive to the God-King Superbundle in the VS. 2018 event.”
Is the Lupine Battleaxe Icon still available?
Probably not. Riot tied the Lupine Battleaxe Icon to 2018 (bundle), and it does not normally bring back past event rewards or bundles.
