If we assume that the most mundane jobs get automated first (as has happened so far) the effect of automation should again be rising wages for those who get to keep their jobs.
That seems intuitively correct, but can potentially be counteracted if (some significant share of) the jobs that aren't completely automated away are automated enough to reduce entry qualifications, such that (combined with displaced workers from fully automated jobs) there is an increased supply, relative to demand, of qualified labor, driving wages down.
Jobs that are neither automated away nor simplifies by automation such that the qualified labor supply is expanded should see higher wages, but that may be a very small share of pre-automation jobs, and may not even be the majority of post-automation jobs.