To me this rather sounds like a problem of "getting started" than just being sleepy. Before going through your usual morning routine, start and finish the smal

To me this rather sounds like a problem of "getting started" than just being sleepy. Before going through your usual morning routine, start and finish the smallest possible unit of work which still requires you to go through the motions. E.g. if you're a software engineer, find a super small improvement/task/bug, do the work, and open a PR. After, allow yourself to do whatever you feel like. Might be that you will go back to your present routine, but there is a good chance that you'll be "warmed up" and ready for more work.