Migrate logicsrc-web from Vite SPA to Next.js 16 App Router

Replaces the Vite single-page app + custom Node server.js with a Next.js
16.2.6 App Router app.

- proxy.ts (src/proxy.ts): www.logicsrc.com -> logicsrc.com 301 over https,
  preserving path + query (the original request, now via Next 16 Proxy).
- One SSR page via an optional catch-all ([[...slug]]) that renders the same
  marketing/spec page for each known top-level route (/docs, /blog, /openspec,
  ...) and 404s unknown paths, preserving existing canonical URLs. Markup is a
  faithful server-rendered port of the old main.ts (SEO upgrade over the prior
  client render); interactivity (hire-us form, CoinPay button, section scroll)
  moves to a client component.
- API routes ported to app/api/**: hire-us coinpay-checkout + project-request,
  oauth/coinpay start/callback/session, webhooks/coinpay. Shared logic in
  src/lib/coinpay.ts (eligibility, payment-rail selection, webhook verify,
  HMAC session sign/verify, cookies).
- commandboard-api (/health + /api/boards|tasks|plugins/*) is no longer mounted
  in-process; next.config.ts proxies those paths to COMMANDBOARD_API_URL via
  afterFiles rewrites (our own /api routes match first).
- Build/start switch to next build / next start. Contract tests rewritten to
  exercise proxy.ts, the route handlers, and pure helpers directly (21 passing);
  Playwright webServer updated.

Deployment (Railway): set COMMANDBOARD_API_URL to the commandboard-api service
URL and run it as its own service; root start now runs next start.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

apps/logicsrc-web/tsconfig.json

@@ -0,0 +1,44 @@
+{
+  "compilerOptions": {
+    "target": "ES2022",
+    "lib": [
+      "dom",
+      "dom.iterable",
+      "esnext"
+    ],
+    "allowJs": true,
+    "skipLibCheck": true,
+    "strict": true,
+    "noEmit": true,
+    "esModuleInterop": true,
+    "module": "esnext",
+    "moduleResolution": "bundler",
+    "resolveJsonModule": true,
+    "isolatedModules": true,
+    "jsx": "react-jsx",
+    "incremental": true,
+    "plugins": [
+      {
+        "name": "next"
+      }
+    ],
+    "paths": {
+      "@/*": [
+        "./src/*"
+      ]
+    }
+  },
+  "include": [
+    "next-env.d.ts",
+    "**/*.ts",
+    "**/*.tsx",
+    ".next/types/**/*.ts",
+    ".next/dev/types/**/*.ts"
+  ],
+  "exclude": [
+    "node_modules",
+    "e2e",
+    "contract",
+    "playwright.config.ts"
+  ]
+}