Keep the "there is nothing to update in a bare repository", "when
the check and update process runs, here are the GIT_DIR and
GIT_WORK_TREE" logic, which will be common regardless of how the
decision to update and the actual update are done, in the original
update_worktree() function, and split out the "working tree and
the index must match the original HEAD exactly" and "use two-way
read-tree to update the working tree" into a new push_to_deploy()
helper function. This will allow customizing the logic more cleanly
and easily.