Before you chase being the boss, get really good at being the person the boss trusts.

Authority usually goes to whoever has already been carrying responsibility without the title. Being the person a manager relies on teaches you the actual job: the decisions, the trade-offs, what goes wrong and why, all without the exposure of being formally in charge. People who skip that stage arrive unprepared and find out in public. The apprenticeship is the part that cannot be jumped over.

Find out what your manager worries about and take one piece of it off them reliably. Not a grand gesture, just something they no longer have to check.