Once install community odoo 16, then you can run this to install enterprise edition

odoo-enterprise-install-custom.sh

#!/bin/bash
################################################################################
# Author: Tejaskumar Tank
#-------------------------------------------------------------------------------
# This script will install Odoo on your Ubuntu server. It can install multiple Odoo instances
# in one Ubuntu because of the different xmlrpc_ports
#-------------------------------------------------------------------------------
# Make a new file:
# sudo nano odoo-install.sh
# Place this content in it and then make the file executable:
# sudo chmod +x odoo-install.sh
# Execute the script to install Odoo:
# ./odoo-install
# Script for installing Odoo on Ubuntu 16.04, 18.04, 20.04 and 22.04 (could be used for other version too)
################################################################################

OE_USER="odoo"
OE_HOME="/$OE_USER"
OE_HOME_EXT="/$OE_USER/${OE_USER}-enterprise-server"
# The default port where this Odoo instance will run under (provided you use the command -c in the terminal)
# Set to true if you want to install it, false if you don't need it or have it already installed.
INSTALL_WKHTMLTOPDF="True"
# Set the default Odoo port (you still have to use -c /etc/odoo-server.conf for example to use this.)
OE_PORT="8169"
# Choose the Odoo version which you want to install. For example: 16.0, 15.0, 14.0 or saas-22. When using 'master' the master version will be installed.
# IMPORTANT! This script contains extra libraries that are specifically needed for Odoo 16.0
OE_VERSION="16.0"
# Set this to True if you want to install the Odoo enterprise version!
IS_ENTERPRISE="True"
# Installs postgreSQL V14 instead of defaults (e.g V12 for Ubuntu 20/22) - this improves performance
INSTALL_POSTGRESQL_FOURTEEN="True"
# Set this to True if you want to install Nginx!
INSTALL_NGINX="False"
# Set the superadmin password - if GENERATE_RANDOM_PASSWORD is set to "True" we will automatically generate a random password, otherwise we use this one
OE_SUPERADMIN="admin"
# Set to "True" to generate a random password, "False" to use the variable in OE_SUPERADMIN
GENERATE_RANDOM_PASSWORD="True"
OE_CONFIG="${OE_USER}-enterprise-server"
# Set the website name
WEBSITE_NAME="_"
# Set the default Odoo longpolling port (you still have to use -c /etc/odoo-server.conf for example to use this.)
LONGPOLLING_PORT="8172"
# Set to "True" to install certbot and have ssl enabled, "False" to use http
ENABLE_SSL="True"
# Provide Email to register ssl certificate
ADMIN_EMAIL="hello@xamta.in"
 


echo -e "* Create server config file"

sudo touch /etc/${OE_CONFIG}.conf
echo -e "* Creating server config file"
sudo su root -c "printf '[options] \n; This is the password that allows database operations:\n' >> /etc/${OE_CONFIG}.conf"
if [ $GENERATE_RANDOM_PASSWORD = "True" ]; then
    echo -e "* Generating random admin password"
    OE_SUPERADMIN=$(cat /dev/urandom | tr -dc 'a-zA-Z0-9' | fold -w 16 | head -n 1)
fi
sudo su root -c "printf 'admin_passwd = ${OE_SUPERADMIN}\n' >> /etc/${OE_CONFIG}.conf"
if [ $OE_VERSION > "11.0" ];then
    sudo su root -c "printf 'http_port = ${OE_PORT}\n' >> /etc/${OE_CONFIG}.conf"
else
    sudo su root -c "printf 'xmlrpc_port = ${OE_PORT}\n' >> /etc/${OE_CONFIG}.conf"
fi
sudo su root -c "printf 'logfile = /var/log/${OE_USER}/${OE_CONFIG}.log\n' >> /etc/${OE_CONFIG}.conf"

if [ $IS_ENTERPRISE = "True" ]; then
    sudo su root -c "printf 'addons_path=${OE_HOME}/enterprise/addons,${OE_HOME_EXT}/addons\n' >> /etc/${OE_CONFIG}.conf"
else
    sudo su root -c "printf 'addons_path=${OE_HOME_EXT}/addons,${OE_HOME}/custom/addons\n' >> /etc/${OE_CONFIG}.conf"
fi
sudo chown $OE_USER:$OE_USER /etc/${OE_CONFIG}.conf
sudo chmod 640 /etc/${OE_CONFIG}.conf

echo -e "* Create startup file"

sudo su root -c "cp $OE_HOME_EXT/setup/odoo odoo-bin"
sudo su root -c "echo '#!/bin/sh' >> $OE_HOME_EXT/start.sh"
sudo su root -c "echo 'sudo -u $OE_USER $OE_HOME_EXT/odoo-bin --config=/etc/${OE_CONFIG}.conf' >> $OE_HOME_EXT/start.sh"
sudo chmod 755 $OE_HOME_EXT/start.sh

#--------------------------------------------------
# Adding ODOO as a deamon (initscript)
#--------------------------------------------------

echo -e "* Create init file"
cat <<EOF > ~/$OE_CONFIG
#!/bin/sh
### BEGIN INIT INFO
# Provides: $OE_CONFIG
# Required-Start: \$remote_fs \$syslog
# Required-Stop: \$remote_fs \$syslog
# Should-Start: \$network
# Should-Stop: \$network
# Default-Start: 2 3 4 5
# Default-Stop: 0 1 6
# Short-Description: Enterprise Business Applications
# Description: ODOO Business Applications
### END INIT INFO
PATH=/sbin:/bin:/usr/sbin:/usr/bin:/usr/local/bin
DAEMON=$OE_HOME_EXT/odoo-bin
NAME=$OE_CONFIG
DESC=$OE_CONFIG
# Specify the user name (Default: odoo).
USER=$OE_USER
# Specify an alternate config file (Default: /etc/openerp-server.conf).
CONFIGFILE="/etc/${OE_CONFIG}.conf"
# pidfile
PIDFILE=/var/run/\${NAME}.pid
# Additional options that are passed to the Daemon.
DAEMON_OPTS="-c \$CONFIGFILE"
[ -x \$DAEMON ] || exit 0
[ -f \$CONFIGFILE ] || exit 0
checkpid() {
[ -f \$PIDFILE ] || return 1
pid=\`cat \$PIDFILE\`
[ -d /proc/\$pid ] && return 0
return 1
}
case "\${1}" in
start)
echo -n "Starting \${DESC}: "
start-stop-daemon --start --quiet --pidfile \$PIDFILE \
--chuid \$USER --background --make-pidfile \
--exec \$DAEMON -- \$DAEMON_OPTS
echo "\${NAME}."
;;
stop)
echo -n "Stopping \${DESC}: "
start-stop-daemon --stop --quiet --pidfile \$PIDFILE \
--oknodo
echo "\${NAME}."
;;
restart|force-reload)
echo -n "Restarting \${DESC}: "
start-stop-daemon --stop --quiet --pidfile \$PIDFILE \
--oknodo
sleep 1
start-stop-daemon --start --quiet --pidfile \$PIDFILE \
--chuid \$USER --background --make-pidfile \
--exec \$DAEMON -- \$DAEMON_OPTS
echo "\${NAME}."
;;
*)
N=/etc/init.d/\$NAME
echo "Usage: \$NAME {start|stop|restart|force-reload}" >&2
exit 1
;;
esac
exit 0
EOF

echo -e "* Security Init File"
sudo mv ~/$OE_CONFIG /etc/init.d/$OE_CONFIG
sudo chmod 755 /etc/init.d/$OE_CONFIG
sudo chown root: /etc/init.d/$OE_CONFIG

echo -e "* Start ODOO on Startup"
sudo update-rc.d $OE_CONFIG defaults

echo -e "* Starting Odoo Service"
sudo su root -c "/etc/init.d/$OE_CONFIG start"
echo "-----------------------------------------------------------"
echo "Done! The Odoo server is up and running. Specifications:"
echo "Port: $OE_PORT"
echo "User service: $OE_USER"
echo "Configuraton file location: /etc/${OE_CONFIG}.conf"
echo "Logfile location: /var/log/$OE_USER"
echo "User PostgreSQL: $OE_USER"
echo "Code location: $OE_USER"
echo "Addons folder: $OE_USER/$OE_CONFIG/addons/"
echo "Password superadmin (database): $OE_SUPERADMIN"
echo "Start Odoo service: sudo service $OE_CONFIG start"
echo "Stop Odoo service: sudo service $OE_CONFIG stop"
echo "Restart Odoo service: sudo service $OE_CONFIG restart"
if [ $INSTALL_NGINX = "True" ]; then
  echo "Nginx configuration file: /etc/nginx/sites-available/$WEBSITE_NAME"
fi
echo "-----------------------------------------------------------"

Where you get Enterprise setup script?

buy the license. it's dirt cheap for what you save in working hours everyday...