T2-014: Create src/ai/analytics.rs module

Track: 2 — UI Revamp + AI Analytics
Section: Backend API -- AI Analytics Engine (Gemini Pro + DeepSeek)
Status: [ ] Todo
Repo: backend-api
Branch: feature/T2-014-ai-analytics-module

Done When

Module with: engine.rs (provider abstraction), gemini.rs, deepseek.rs, prompts.rs. Compiles

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