[2022] Purchased an item from the cosmetics tab and it never showed up 2

It looks like the Battleblade is present in your inventory. To clarify, the Battleblade is a Weapon Illusion for the Sword as opposed to an actual weapon.

If you are unable to locate the Weapon Illusion - could you please screenshot what you see when looking for it in the ‘Apply Illusion’ panel please?