feat(issue-#36): add Dockerfile + docker-compose for local dev

.dockerignore

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+node_modules
+.env
+.env.*
+.dexter
+.git
+.github
+.vscode
+.idea
+.cursor
+logs
+coverage.json
+*.md
+!SKILL.md
+LICENSE

Dockerfile

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+# Stage 1: Install dependencies
+FROM oven/bun:1-debian AS deps
+WORKDIR /app
+COPY package.json bun.lock ./
+RUN bun install --frozen-lockfile
+
+# Stage 2: Production image
+FROM oven/bun:1-debian
+WORKDIR /app
+
+# Install system dependencies required by Playwright Chromium
+RUN apt-get update && apt-get install -y --no-install-recommends \
+    libnss3 libnspr4 libdbus-1-3 libatk1.0-0 libatk-bridge2.0-0 \
+    libcups2 libdrm2 libxkbcommon0 libatspi2.0-0 libxcomposite1 \
+    libxdamage1 libxfixes3 libxrandr2 libgbm1 libpango-1.0-0 \
+    libcairo2 libasound2 libx11-xcb1 libxcb1 libx11-6 \
+    && rm -rf /var/lib/apt/lists/*
+
+# Copy installed dependencies from deps stage
+COPY --from=deps /app/node_modules ./node_modules
+COPY . .
+
+# Install Playwright Chromium (skipped in bun install since postinstall
+# only runs in non-frozen mode; install it explicitly here)
+RUN bunx playwright install chromium
+
+ENV NODE_ENV=production
+
+CMD ["bun", "run", "src/index.tsx"]

docker-compose.yml

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+services:
+  dexter:
+    build: .
+    env_file:
+      - .env
+    # Interactive mode required — Dexter is an Ink (React) CLI app
+    stdin_open: true
+    tty: true
+    # Persist settings (selected model/provider) across container restarts
+    volumes:
+      - dexter-data:/app/.dexter
+
+volumes:
+  dexter-data: