The Python script that is introduced in this recipe works by utilizing the socket library. The script loops through each of the specified target port addresses and attempts to initialize a TCP connection with that particular port. If a connection is established and a banner is received from the target service, the banner will then be printed in the output of the script. If a connection cannot be established with the remote port, the script will then move to the next port address value in the loop. Similarly, if a connection is established but no banner is returned, the connection will be closed and the script will continue to the next value in the loop.