I re-installed macOS Monterey and Python. I open the terminal and execute pip. This is the result:
~ $ pip list zsh: command not found: pip
The pip3 command works:
$ pip3 list Package Version ---------- ------- pip 22.2.2 setuptools 63.2.0
At this point you can rename pip3, create a symlink or create a copy of pip3. I create a copy.
bin $ ls -la . . lrwxrwxr-x 1 root admin 10 May 29 19:05 pip3 . .
In here you see a pip3 file.
cp pip3 pip
$ pip list Package Version ---------- ------- pip 22.2.2 setuptools 63.2.0
Voila. You can now use the pip command to execute pip3.