Add stage 2: Vue/TypeScript PWA shell with auth-gated routing

Backend: new migration adds users.email_verified_at (null = unverified);
registration leaves it null, and the register/login/me payloads now expose
email_verified and email_verified_at.

Frontend (web/): Vite + Vue 3 + TypeScript PWA (vite-plugin-pwa). Pinia auth
store keeps the token in localStorage and validates it via GET /api/me on
load. vue-router guards redirect unauthenticated visitors to /login,
preserving the intended path; /register creates an account and signs in
immediately (with the email unverified). Placeholder home page, minimal
styling, generated icons. Dev server proxies /api to the API.

docker-compose.yml gains an optional "web" service (profile: frontend) so
`docker compose --profile frontend up -d` runs the dev server alongside the
API; `docker compose up -d` still starts the API alone.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

web/Dockerfile

@@ -0,0 +1,15 @@
+# Development image: runs the Vite dev server. A production build image is a
+# later concern.
+FROM node:24-alpine
+
+WORKDIR /app
+
+# Install dependencies against this image's platform (musl), kept in a volume
+# by docker-compose so the host's node_modules never shadow them.
+COPY package.json package-lock.json ./
+RUN npm ci
+
+COPY . .
+
+EXPOSE 5173
+CMD ["npm", "run", "dev"]