This character commits a murder.
Murder is the unlawful killing of another human being with "malice aforethought", and generally this state of mind distinguishes murder from other forms of unlawful homicide (such as manslaughter).
The four states of mind recognized as constituting "malice" are:
Intent to kill,
Intent to inflict grievous bodily harm short of death,
Reckless indifference to an unjustifiably high risk to human life (sometimes described as an "abandoned and malignant heart"), or
Intent to commit a dangerous felony (the "felony-murder" doctrine).