Volunteer for the job nobody wanted, like cleanup or spreadsheets. Remember who gets trusted with the good jobs later.

Taking on the unwanted task is an unusually cheap way to become known, because so few people compete for it. It also teaches you things the interesting jobs do not: how the work actually runs, where the mess accumulates, who is reliable. People handing out real responsibility later are picking from a short list of names they already associate with follow-through.

Put your hand up for the least appealing job on offer this month and do it properly rather than resentfully. Finish it without needing to mention how tedious it was. Then notice what you get asked to do next.