Bug report

In python 3.10+, shutil.make_archive() makes empty archive file and does not raise any error even when root_dir does not exists.
In python -3.9, FileNotFoundError is raised with message [Errno 2] No such file or directory: ‘xxxxxxx’.

import shutil

shutil.make_archive(base_name='aaa_archive', root_dir="not_existing_dir", format="zip")
# This will raise FileNotFoundError in python ~3.9, where it doesn’t in 3.10~

I though making empty archive file is unnatural, so fixing it maybe good for backward compatibility.

I think this problem is caused in this line, where os.chdir(root_dir) is not called anymore.
In the previous code, os.chdir(root_dir) will raise FileNotFoundError when root_dir does not exists.
https://github.com/python/cpython/pull/93160/files#diff-db8ac59326160713929e0e1973aef54f0280fe9f154ef24d14244909a0e0689bL1084

I thought checking the existence of root_dir and raise FileNotFoundError when root_dir is not found, might be a good implementation to fix this problem.