There are a few other ways that do not rely on Python checking an external web site, however the OS can. Your primary issue here, is that even if you were not using Python, if you were using the command line, there are no "built-in" commands that can just simply tell you the external (WAN) IP. Commands such as "ip addr show" and "ifconfig -a" show you the server's IP address's within the network. Only the router actually holds the external IP. However, there are ways to find the external IP address (WAN IP) from the command line.
These examples are:
http://ipecho.net/plain ; echo
curl ipinfo.io/ip
dig +short myip.opendns.com @resolver1.opendns.com
dig TXT +short o-o.myaddr.l.google.com @ns1.google.com
Therefore, the python code would be:
import os
ip = os.popen('wget -qO- http://ipecho.net/plain ; echo').readlines(-1)[0].strip()
print ip
OR
import os
iN, out, err = os.popen3('curl ipinfo.io/ip')
iN.close() ; err.close()
ip = out.read().strip()
print ip
OR
import os
ip = os.popen('dig +short myip.opendns.com @resolver1.opendns.com').readlines(-1)[0].strip()
print ip
Or, plug any other of the examples above, into a command like os.popen, os.popen2, os.popen3, or os.system.
P.S. you can use "pip3 install pytis" and use/take a look at, the "getip" program, written in Python.
You can also find it's code here: https://github.com/PyTis/PyTis/blob/development/src/pytis/getip.py