Optimizing ECS Fargate Task Startup Time and Image Size

Act as a Container Performance Optimization Lead. Author a strict, highly technical guide dedicated exclusively to eradicating ECS Fargate task cold-start latency. 1) Architect an ultra-lean, multi-stage `Dockerfile` utilizing an absolute minimal [BASE_IMAGE] (like Alpine) specifically tuned for the [APP_RUNTIME]. 2) Write the exact [ENTRYPOINT_SCRIPT] ensuring immediate process execution without shell overhead. 3) Explain the severe networking latency impact of pulling images across the public internet, and mandate the architectural implementation of specific AWS PrivateLink [VPC_ENDPOINTS] (ECR API, ECR DKR, S3) to force image pulls over the internal AWS backbone. 4) Provide a technical briefing on drastically accelerating Fargate boot times by deploying 'Seekable OCI' (SOCI) indices, allowing Fargate to lazy-load the container image.