Thanks and sorry for the late reply. Actually both schools I applied have this big project where in the last year of study students work with industry clients in New Zealand so I guess that could kind of count as an internship although I would not be actually working at the company with the client.
I also want to take this opportunity to ask for more advises if possible. I know it is a bit inconvenient for people to do as many members here are actual practicing product designers or university students, but I guess I feel more confident that way perhaps? I am actually kind of lost.