Integrating AWS App Mesh with ECS Fargate for Traffic Shifting

Act as a Service Mesh Architect. Detail the highly complex procedure of implementing precise Canary deployments for an ECS Fargate environment natively utilizing AWS App Mesh. Provide the exact configuration required to provision a Virtual Router and corresponding Virtual Nodes assigned to the [VIRTUAL_SERVICE] operating within the [MESH_NAME]. Mathematically define the route rules to enforce an initial traffic split: routing exactly [CANARY_WEIGHT] percentage to the new deployment, and the remaining [STABLE_WEIGHT] to the active production version. Output the exact JSON required for the task definition to inject the `envoy` proxy sidecar container, strictly detailing the `proxyConfiguration` block required to physically intercept and route all inbound/outbound container network traffic.