Nah, we’d use “Coke” again in the third line and it’d be understood to mean specifically Coca-Cola because Pepsi was also mentioned to contrast with it. Otherwise, if we said “I’ve got Sprite, Dr Pepper, coke, and root beer" then that “coke” might be Pepsi. Either way, saying “cola” instead would be unusual.

“Coke” can mean any soda, any cola, or Coca-Cola Classic specifically depending on context.