Depending on your organization, you could switch to another team with more of a need for leadership or otherwise seems more likely to advocate for the promotion

Depending on your organization, you could switch to another team with more of a need for leadership or otherwise seems more likely to advocate for the promotion you're looking for. For some organizations, that's a big change, but other companies give a lot of autonomy to high performing individual contributors when it comes to picking what work (and therefore what team) they participate in.