Add AWS-native product analytics

[jmgasper]

Summary

• replace the retired product-analytics dependencies and configuration with the AWS Clickstream Web SDK
• record SPA page views, privacy-safe click locations, shared UTM attribution, and pseudonymous cross-subdomain identity
• record challenge registration and submission only after their APIs succeed
• configure the deployed development collector while leaving QA and production disabled
• document the AWS topology, event contract, privacy controls, reporting views, cost guardrails, and operational repair path

AWS validation

The development collector at https://analytics.topcoder-dev.com/collect is live. Synthetic SDK events were verified through S3, EMR Serverless, Athena, Redshift Serverless, and both QuickSight dashboards. The tagged event retained codex / integration / aws_analytics attribution.

Verification

• yarn lint
• yarn test:no-watch --runInBand with 4 analytics and conversion suites: 26 tests passed
• yarn build
• legacy Heap, Sprig, Google Analytics, and tag-manager reference scan: clean

The production build succeeds with the repositories existing sourcemap, CSS-order, hook, and bundle-size warnings.