Good point. You don’t want to be overly aggressive and turning everything into a “see, you should hire me” moment. You don’t want to be a happy dog barking at their heels. Just do more than is expected humbly, check in, and try to fit in as part of the team.
When I have been assessing people in these situations I look for what I call “new guy smell”. I worked with a designer for years who never shed that “new guy smell”. Other designers came in and clicked and just got how we worked and he was still asking where the bathroom was. If you can shed that ned guy feeling as intern that would be a huge step.
Good advice from Han: