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>

cortex/Dockerfile

@@ -0,0 +1,27 @@
+FROM python:3.12-slim
+
+WORKDIR /app
+
+# Install Node.js (needed by claude CLI) and Claude/Gemini CLIs
+# Claude CLI is installed via npm; Gemini CLI likewise
+RUN apt-get update && apt-get install -y --no-install-recommends \
+        curl \
+        ca-certificates \
+    && curl -fsSL https://deb.nodesource.com/setup_22.x | bash - \
+    && apt-get install -y nodejs \
+    && npm install -g @anthropic-ai/claude-code @google/gemini-cli \
+    && apt-get clean && rm -rf /var/lib/apt/lists/*
+
+# Python deps
+COPY requirements.txt .
+RUN pip install --no-cache-dir -r requirements.txt
+
+# App source
+COPY . .
+
+# Inara identity dir is mounted at runtime (see docker-compose.yml)
+# Sessions dir is also a named volume
+
+EXPOSE 8000
+
+CMD ["uvicorn", "main:app", "--host", "0.0.0.0", "--port", "8000"]