Axolotls are purely aquatic animals. They should never be removed from the tank unless you want to move them. Keeping them out of the water is cruel.
Putting an algae eater in the tank is a very bad idea. Most (if not all) algae eaters have spikes in their spine or dorsal fin. An axie will most likely try to eat the fish, and thus piercing himself witht he spine. Not only does this hurt and injure your axie, but they are a pain to remove as well.
Besides that problem, the can also nibble on your axie.