How to show your organization that you want to advance
Make a 15 minute appointment and ASK your supervisor if they can recommend a mentor for you. That way you have access to a more senior person WITH your supervisor’s encouragement and you can then make a 15 minute appointment with them.
Meet with that senior person, and ask to become more involved in the organization. Can you volunteer at a charity event? Work on a project? Offer to manage an event, such as a holiday party, or handle part of a conference to get visibility.
Be good at your job. Your job performance is still the number one way to achieve credibility and be promoted.