When used to refer to any alcoholic mixed drink, cocktail may mean any beverage that contains three or more ingredients if at least one of those ingredients is alcohol. [Wikipedia]
Infusion is the process of extracting flavors from plant material in a solvent such as alcohol, by allowing
the material to remain suspended in the solvent over time – a process also called steeping.
An infusion is also the name for the resultant liquid. [Wikipedia]
Do you get the idea as yet?