The mint that I have outside keep getting some holes in it from pill-bugs and slugs. At first this was a problem because the mint seemed to be struggling but now that my plants have been in the ground for over a year they are out growing any damage the critters can do.
Since your plants are inside I would recommend trying some food grade
diatomaceous earth sprinkled around the base of the plants. Only issue is that it needs to remain dry so make sure to give the plants some good
water, let the surface dry out and then apply the diatomaceous earth. Wait a few days and see if the damage stops - once you water the plants again you would need to add fresh diatomaceous earth. Its safe and the food grade stuff is eaten by people as a supplement.
Assuming the critter is some sort of invertebrate I think using diatomaceous earth would work. It kills bugs but does not harm people and the food grade type is safe to eat.