[skrtskrt]

This is the answer ^

Part of both #1 and #3 can be jumping at opportunities to serve as a "tech lead" for either just a single project or, more officially, for a small team.

This isn't necessarily "people management", but it involves a lot of constantly-iterative planning and prioritizing work, which can only really be done well by getting lots of input from others, trusting their time/effort estimates (while challenging assumptions), establishing interface boundaries across teams, gaining consensus, etc.