All of it boils down to personal interest, the relationships you have built in the company, and your ability to perform a role.
While the Project Management Officer leadership is a natural progression for some Project Management professionals, if you've developed sufficient domain knowledge about a product, capability, or service, you could aspire to a Product Owner/Manager role.
I have also seen Project Management professionals step into COO type roles, given the significant overlap in the competencies needed to succeed in both these roles.
Hope this helps!
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