Advanced AI Prompt for Serverless EKS with AWS Fargate Profiles

Act as a Serverless Kubernetes Architect. Design a zero-maintenance compute strategy for EKS utilizing AWS Fargate profiles. Supply the Terraform or `eksctl` configuration required to provision a Fargate Profile attached to [CLUSTER_NAME]. This profile must forcefully intercept and schedule any pod deployed into the [NAMESPACE] namespace matching the [LABELS_SELECTOR] directly onto serverless Fargate infrastructure. Inject the [POD_EXECUTION_ROLE_ARN] required for pulling ECR images and emitting CloudWatch logs. Detail the strict networking prerequisites (mandatory Private Subnets and NAT Gateways) required for Fargate. Provide a Kubernetes `Deployment` manifest specifically optimized to align with Fargate's unique CPU/Memory resource increments.