The job will run the next time a worker runs (in both cases).
And doesn’t that mean the job potentially runs twice? Yes.
In DBOS there are two kinds of “things that run”: workflows, and steps (workflows are made of steps).
Workflows must be deterministic (so it’s fine if it runs twice). Steps don’t have to be deterministic but have at-least-once execution (so it’s best if these are idempotent).