We have some "team leader operations"- critical actions that only a team leader may perform. When you ask your team leader how to perform them, you get the answer that this is not your role to know this.
Eventually, when they look for a new team leader, you apply & get the answer "you don't know team leader operations".
Only after years you get to the position where you are authorized to see the relevant screen and you are overwhelmed that two checkboxes and one save button were stopping your career all this time.
If you actually *like* any of the other managers, you may be able to solve the problem by socializing with them. In the more likely case where they are all a***h***s, there is no good solution. There are certain things that I will not do for career advancement and spending my free time with people I detest is one of them.
Management by committee is a commonly-used tactic for keeping salaries low. Not only must managers' council pass off on all promotions, input from other managers (for whom you don't work, and with whom you never interface) will be considered on your annual evaluation. Oh yes, I *did* experience that for 22 years, thank you for asking.