I just finished a very large RCT study on ice cubes, double blinded, placebo controlled (I guess some of them weren't actual ice cubes they were glass made to look like ice cubes). Anyhow, I brought these ice cubes up from -10 C to -5 C under very controlled conditions, and none of them melted.  That is very statistically significant given the number of ice cubes that we studied.  So I can confidently say that raising the temperature does not melt ice cubes.  Go ahead and play with your ice cubes in any environment at any temperature and stop believing in the stupid mainstream science.