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The CDK construct compiles tasks.LambdaInvoke to the optimized arn:aws:states:::lambda:invoke integration, which emits Task* history events with the Lambda response wrapped in .Payload. getRenderProgress was only listening for the older LambdaFunction* events, so every CDK- deployed stack reported $0 total cost and zero invocations on success — a high-visibility regression that only surfaced when we manually walked SFN history during a cost-analysis sweep. Add cases for TaskScheduled (count invocation), TaskSucceeded (parse Payload + accumulate billed duration / frame counts), and TaskFailed (record error). Keep the LambdaFunction* paths so anyone wiring the raw lambda:invokeFunction.sync task type still works. Factor out the shared FramesEncoded-attribution logic so both branches agree on the "only RenderChunk frames count" rule. Tests pin a real-shape regression: replay the inspector-launch 1080p/30fps history (1 Plan + 16 RenderChunks + 1 Assemble) and assert lambdaUsd lands at ~$0.582 — matching the cost-analysis script's direct read against SFN history. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>