You can't say that an object has heat, only that it has internal energy. Heat is a process quantity. In the process of heat transfer, the energy transferred is called heat. When the temperature of an object increases or decreases, the internal energy increases or decreases, so it can be said that it absorbs or releases heat, but it cannot be said that it has heat.
After ice cream enters the mouth, the temperature of the mouth is high and melts, which absorbs the heat of the human body, so people feel cold.