T1/Phase 1: scaffold Vite SPA + Hono API + Bun worker

- apps/web: Vite + React 19 + TanStack Router/Query + shadcn/ui
   - apps/api: Hono + Bun on :3001 with /api/health, /api/auth/*, /mcp stubs
   - apps/worker: Bun worker stub, DB connection, graceful SIGTERM
   - apps/web-legacy/: old Next.js code moved aside (preserved for T2-T8 reference)
   - Dockerfiles: api (Bun), worker (Bun), spa (multi-stage Caddy)
   - Caddyfile: serves dist + reverse-proxies /api/* + /mcp to api
   - docker-compose.yml: 4-service target (api, spa, db, worker)
   - packages/db/src/client.ts: shared Drizzle client for api + worker
   - db/client.ts: root-level alias for convenience

   Parent: t_e1cbd87d -> t_24c9c3fd (T0)

apps/worker/src/index.ts

@@ -0,0 +1,35 @@
+import { db, sql } from "@project-e/db/client";
+
+let running = true;
+
+process.on("SIGTERM", async () => {
+  console.log("worker: SIGTERM received, shutting down gracefully...");
+  running = false;
+  await sql.end();
+  process.exit(0);
+});
+
+process.on("SIGINT", async () => {
+  console.log("worker: SIGINT received, shutting down gracefully...");
+  running = false;
+  await sql.end();
+  process.exit(0);
+});
+
+async function main() {
+  try {
+    // Test DB connection
+    await sql`SELECT 1`;
+    console.log("worker ready");
+  } catch (err) {
+    console.error("worker: failed to connect to database:", err);
+    process.exit(1);
+  }
+
+  // Stub loop: sleep forever, handle signals
+  while (running) {
+    await new Promise((resolve) => setTimeout(resolve, 10000));
+  }
+}
+
+main();