No, you only need a licence for the copies of ANY-maze which you’ll actually use to track animals.
For example, you might have a computer in your lab which you’ll use to track animals, and another in your office where you analyse results. You can install ANY-maze on both these computers, but you’ll only need to purchase a licence for the one in your lab.
In fact, you can install any number of free copies of ANY-maze on as many computers as you like, so everyone else in the lab can have a copy on their computers too. You can download ANY-maze for free, from here.