There are only two options, as an engineering manager:
- you're the constraint
- you're finding the constraint

Any kind of leader, but especially in technical roles, is tempted to do the work.

If you're routinely doing the work, there's no one else doing the things that only a manager can & should do.

The main thing you should be doing is ensuring that all of your direct reports aren't blocked.

When they're waiting on you, then you are the constraint.