Make generated Vue monorepos buildable with docker compose

Running `draft new monorepo` with the Vue client and then
`docker compose build client` failed three separate ways, each found by
actually doing it:

- No Dockerfile: the Vue overlay never shipped one. The template now has
  an nginx-based image (project-template#4) and the client-vue sync job
  embeds it plus its nginx.conf.template, with the pnpm pin rewritten to
  the local version like the Nuxt overlay.
- Stale root lockfile: the Vue scaffold wrote a pnpm-workspace.yaml into
  apps/client (to approve vue-demi's build script), which made it its own
  workspace, so the installs updated a nested lockfile and the root one
  kept describing the template's Nuxt client - pnpm install
  --frozen-lockfile then refused it. The file is only written when the
  client isn't already inside a workspace (standalone `draft new client`).
- Missing component: the client-vue job listed components by name, so the
  AuthCard.vue that Login/Signup import was never embedded. It now embeds
  src/components/ as a whole.

Co-Authored-By: Claude Fable 5.1 <[email protected]>

README.md

@@ -85,7 +85,7 @@ draft new client
 3. Scaffolds the base app via the official tooling (`nuxi init` for Nuxt, `create-vue` for Vue), so the generated boilerplate, dependency versions, and lockfile are always current rather than pinned by Draft
 4. Layers a Draft-maintained overlay on top: an auth store (login/logout/register/token refresh), route guards, API composable, and pages for login/signup/profile/organizations/email verification/invites — all wired up to talk to a Draft-generated API out of the box
 
-Both frameworks produce a comparable app: [`vue-ui-kit`](https://git.fernandovideira.com/FernandoJVideira/vue-ui-kit) (installed from its own Gitea npm registry - see its README for the one-time `.npmrc` token setup) + Tailwind, the same component library and theme tokens on either framework. The generated Nuxt client's Dockerfile mounts that `~/.npmrc` as a build secret (wired up in the monorepo's `docker-compose.yml`), so container builds resolve the package without baking the token into the image.
+Both frameworks produce a comparable app: [`vue-ui-kit`](https://git.fernandovideira.com/FernandoJVideira/vue-ui-kit) (installed from its own Gitea npm registry - see its README for the one-time `.npmrc` token setup) + Tailwind, the same component library and theme tokens on either framework. Both clients ship with a Dockerfile that mounts that `~/.npmrc` as a build secret (wired up in the monorepo's `docker-compose.yml`), so container builds resolve the package without baking the token into the image - Nuxt runs its Nitro server, Vue is served by nginx with an SPA fallback and `/api/` proxied to the api container.
 
 ### Create a New Monorepo Project