In my experience, all managers have strengths and weaknesses, and it's very easy as a report to look above you and say "my manager is bad" largely cause you don't understand the balancing act they are constantly doing and the political battles they are constantly fighting.
If you like your work, and you feel like your career is headed in the right direction, and you trust this manager then I'd stay. All your complaints don't sound unusual and just part of working in a large organization, where your satisfaction is not the primary goal of said organization.
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In my experience, all managers have strengths and weaknesses, and it's very easy as a report to look above you and say "my manager is bad" largely cause you don't understand the balancing act they are constantly doing and the political battles they are constantly fighting.
If you like your work, and you feel like your career is headed in the right direction, and you trust this manager then I'd stay. All your complaints don't sound unusual and just part of working in a large organization, where your satisfaction is not the primary goal of said organization.