About this deal
A zap gun is a type of shotgun that does electrical damage. You can use "Equipment Search" at the Dragon and Tiger weapons shop to find one. You'll get access to the shop as part of the main plot during chapter 3.
Secondary Canon (Expanded Universe) History [ ] Ghostbusters: The Video Game (Stylized Versions) [ ] The Mark II Slime Blower's Slime Tether is replaced by the Slime Mine, which the player can charge. The longer the charge, the larger the mine. It can also be used to locate invisible players using the Invisibility Potion or Psycho Knife, or invisible players wearing Shroomite armor or Vortex armor. It is possible for King Slime to teleport to the player after they died fighting in the outer layers of the world.Shakedowns (like most boss-type characters) are highly resistant to bullet and weapon damage. Here's a Shakedown's health bar before and after a shot from Kiryu's Golden Pistol - a weapon which outright deletes mooks from existance:
You’re not a mad scientist (we’re guessing), so you don’t have to worry about making the slime yourself. This Slime Blaster comes with 12 sachets of slime powder, which you just need to add to the slime gun’s water holder. With a little shake, you’re ready to slime! The 12 sachets will give you about 4 litres of slime, which works out to over 200 shots from your blaster! It seems that the source of the Ninja armor is from the ninja inside King Slime. According to Redigit, the trapped ninja is the Guide's brother, [2] and he was consumed by King Slime as a result of losing the fight against the boss. [3] Dille, Flint & Platten, John Z. (2009). Ghostbusters: The Video Game (Draft Revision February 11, 2008) (Script p. 109). Line reads: "He gestures at photos on the wall: still from Ghostbusters II."
You can find a zap gun in pretty much any search destination that has "Shotgun" as one of the obtainable items. "Hunter's Village" in Japan is one destination that's available the moment the store opens. You can also get the Slime gun in the same place - it's a bit like a cheaper and less damaging version of the zap gun.