Wire WebSocket chat to real LLM streaming

[askmy-stack]

Background

Identified during OSS audit v2 of startupintel.

Problem Statement

Echo stub only.

Proposed Solution

Integrate get_llm_client stream.

Acceptance Criteria

• Implementation complete
• Tests pass
• Documented in README or docs/

Files / Modules Affected

startupintel/api/routes/websocket.py

---

Suggested labels: priority:high, difficulty:advanced, category:bug
Milestone: v2.0-features
OSS Audit: Master Backlog v2