Should I put scene numbers in my screenplay?

No.

The production secretary, line producer, A.D., or another involved person will number your scenes once your script is going into production.

If you are working on revisions or a production draft and the scenes are already numbered, the question of how to handle renumbering is more complicated, and should be evaluated on a case-by-case basis. John August addresses a specific case in this blog post.

In multicam sitcom scripts, scenes generally are numbered (or lettered, more accurately), but if you are writing a spec episode, you should consult scripts for that specific TV show to see how it is handled.