Is there a way to assign network and binding ports to a docker agent in Jenkins?

docker jenkins containers agent

Check first if the network is visible through inspection, instead of just docker ps.
See "How to find the network my container is in?"

docker inspect <lyContainer> -f "{{json .NetworkSettings.Networks }}"

Or you could filter docker ps by network, again, to check if the containers were assigned to the expected network.

You can also check your network stack through a Jenkins step like ip addr show to see if a new network interface was created.

CodeHunter