You do if you are a minor in school and intend on bringing it to school. You will have to store it in the nurses office as well to prevent it from being “shared.” It’s as absurd as it sounds, and this policy has been applied to inhalers and other prescription medications that should be on person as well and has caused deaths as a result. Cough drops are considered over the counter as well. It also applies to pain medication.
High school girls getting caught giving each other paracetamol/tylenol for period pain and being suspended as a result isn’t an isolated thing either.