T2-023: Response caching -- cache AI analytics results

Track: 2 — UI Revamp + AI Analytics
Section: Backend API -- AI Analytics Engine (Gemini Pro + DeepSeek)
Status: [ ] Todo
Repo: backend-api
Branch: feature/T2-023-ai-response-cache

Done When

Cache analytics results for 6 hours (health data doesn't change that fast). Same request within cache window returns cached result. Invalidate on new health data sync

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