If you mean to refer to the complete automation of all computer-programming-related tasks, then that would probably be a relatively late feature. There will be partial automation before that, much as we see today with refactoring, compilation, code generation, automated testing, lint tools - and so on.

My expectation is that humans will want code reviews for quite a while - so the elimination of the last human from the loop may take a long time. Some pretty sophisticated machine intelligence will likely exist before that happens - and that is mostly where I think there might be an interesting race - rather than one party pulling gradually ahead,

There could be races and competition in the machine world too. We don't yet know if there will be anti-trust organisations there - that deliberately act against monopolies. If so, there may be all-manner of future races and competition between teams of intelligent machines.