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Essentially, I want to run an auto-scaling set of containers backed by a single image fronted by a fixed IP address and port(s). However, I do not want to pay a fixed monthly charge, just a charge that is proportional to usage.
API Gateway + Lambda does this, but not for containers/images.
Fargate looks promising, but it appears that you need a load-balancer to give the service a static IP which costs $20 or so per month/fixed.
Some combination of Route53/AWS Service Discovery/API Gateway and Fargate might also work, but it is unclear how to set that up.
Does anyone have something that works for them?