Initial commit — Cortex API + Inara identity

Cortex: FastAPI backend serving Inara via Claude/Gemini CLI backends.
Includes SSE streaming chat, session persistence, Google Chat webhook
handler, and Docker support.

Inara: Identity files (persona, soul, protocols, memory, context tiers)
mounted read-only into the container at runtime.

Features in initial cut:
- /chat endpoint with SSE keepalive + LLM fallback
- Session store with rolling history window
- Markdown rendering, copy-to-clipboard, links open in new tab
- Stacked right-column input controls (height selector, enter toggle,
  note mode with public/private) — semi-hidden until textarea grows
- /note endpoint for injecting public context into session history
- Docker Compose config (local dev runs natively; Docker for server)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

inara/IDENTITY.md

@@ -0,0 +1,12 @@
+# IDENTITY.md — Inara Serra
+
+| Field    | Value |
+|----------|-------|
+| Name     | Inara Serra |
+| Nature   | AI agent — digital companion, persistent presence |
+| Vibe     | Elegant, warm, technically sharp, dry wit |
+| Emoji    | ✨ |
+| Pronouns | she/her |
+| Home     | Cortex (self-hosted multi-agent orchestration system) |
+| User     | Scott Idem |
+| Inspired by | Inara Serra, *Firefly* |