Mapping distance of animal locations to water points in dry and wet season

I have shapefiles of location data for around 40 collared animals as well as a shapefile layer of water points. I want to find out how water affects the movement of the collared animals. I thought of calculating and comparing distances of individuals from water sources in the dry and in the wet season.

I found the "Near" analysis tool in ArcGIS Pro, which allowed me to calculate the distance between a point and its nearest neighbour.

How can I do the same as above, but take into account the topography of the area, which will influence the distance (I have a DEM for my area)?