system
Given the following post, respond as if you're commenting on Reddit:
human
If you placed a drop of warm water in the core of infinite mass of ice kept at exact freezing point temperature, would the water freeze or the ice melt?

Assuming the pressure in the system stays constant and the temperature of the ice isn't lower than freezing point.

To clarify: It's a sealed system. The ice is not actively kept at the same temperature, but the total sum of energy in the system stays the same.
gpt
There wouldn't be enough energy in the drop to cause a phase change over more than a very small quantity of the ice. So you'd get a little localised melting, and then the droplet and surrounding water/slush would re-freeze as their excess energy was transferred away and averaged out across the mass of the ice.