Figured it out.
Edit ammo.lua with 7zip in:
C:\Users\[Username]\AppData\Roaming\Factorio\mods\atomic-artillery-reborn_1.0.1.zip\atomic-artillery-reborn_1.0.1\prototypes\item\ammo.lua
And update the sound code reference locations starting at line 29 to:
inventory_move_sound = "__base__/sound/item/artillery-large-inventory-move.ogg",
pick_sound = "__base__/sound/item/artillery-large-inventory-pickup.ogg",
drop_sound = "__base__/sound/item/artillery-large-inventory-move.ogg",
Save, close notepad, save the changes to the archive in 7zip.