Note that this is a weapon and NOT a firearm and item.
So the only way to add ammo to this is through Venturer, Contraband(and its upgrade), and Cleaning Kit. The upgraded Cleaning Kit is worth considering for this.
Other staple upgrades do not work on this, including Well-Maintained, Reliable, Custom Ammunition, Custom Modifications, Extra Ammunition, and Swift Reload
So it seems that FFG wants to prevent players from building around (= abusing) this goddamn gun.