When you put a ice cube in a warm drink and the ice cube thermal energy decreases and the drink thermal energy increases, how does the energy move? What is the situation when the ice cube would give off the heat?

Thermal energy always flows spontaneously from the body that is at a higher temperature to the body that has a lower temperature.

In this case, the thermal energy flows from the hot beverage that is at the temperature t1 to the ice cube at the temperature t2 until the two reach the same temperature t3.

Where:

t1> t2
The ice cube would emit heat if the temperature of the liquid with which it comes in contact with the smaller than that of the ice.