Auto Scaling with Containers

Hi AWS, I am trying to add auto-scaling to the containers deployment. What I am planning to do is if the Docker container is running on an EC2 instance (Windows/Ubuntu) I need to use a load balancing for traffic distribution and creates a new AMI. Now as per my understanding whenever a new AMI comes up from an existing server image whatever state the container has there it will have the same on newly created AMI which is not really the case.

Can you please help me in letting know if the container is running on the last created server how to automatically bring it up into running state on the newly created AMI with zero downtime as that's the requirement for my CI/CD process.