Biden used a policy called Humanitarian Parole, an extended temporary process stay which requires presidential renewal every 2 years.
That is to say, their current temporary status is itself the achievement that Biden has accomplished (once initially and one renewal so far), and that Harris will presumably continue and Trump will presumably revoke.
Already hearing about resignations, starting (IIUC) with Robert Kagan. https://www.npr.org/2024/10/25/nx-s1-5165353/washington-post-presidential-endorsement-trump-harris