1. A method comprising: receiving, by a paint dispensing system, a selection of a paint color through an input device of the paint dispensing system; determining, by the paint dispensing system, a type of base paint based on at least the selected paint color; identifying, by the paint dispensing system, a paint container based on the determined type of base paint, wherein the identifying the paint container includes identifying a container storing the determined type of base paint; automatically dispensing, by the paint dispensing system, the identified paint container from a storage area of the paint dispensing system to a mixer of the paint dispensing system, the mixer including one or more grooves in a lip of the mixer, wherein the one or more grooves are configured to support an upper portion of the paint container in a tilted position relative to a vertical axis of the mixer when the paint container is delivered into a recessed holding portion of the mixer, and wherein dispensing the identified paint container to the mixer includes delivering the identified paint container to the recessed holding portion of the mixer; determining, at the paint dispensing system, at least one tint to inject into the paint container to create paint of the selected paint color; rotating an injector assembly to align a nozzle corresponding to the determined at least one tint with the paint container, wherein the injector assembly is included in the paint dispensing system and comprises a plurality of nozzles; and injecting, by the paint dispensing system, the determined at least one tint into the paint container.