One way to deliver that experience is in delivery management, that is, being responsible for teams that ship stuff.
Another way to deliver that experience is in people management. Not all companies equate this with the previous responsibility.
A third way in in a more nebulous “leadership” role that doesn’t have “manager” in the title, e.g. “Architect,” or “Principal Engineer.”
The latter is tricky, but can be a very good opportunity. My 2c on being in engineering leadership is that it’s best to think of yourself as a manger without authority, rather than thinking of yourself as an engineer with authority.
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FWIW, I am 57 and a Principal Engineer with PagerDuty.