Complete Story 1-1 and fix TypeScript issues

Add TypeScript strict mode and typecheck tasks to monorepo infrastructure.
Fix E2E test @payload-config alias and frontend TypeScript errors.

- Add tsconfig.json to backend with strict mode and path aliases
- Add typecheck task to Turborepo and all packages
- Fix @payload-config alias for E2E tests and dev server
- Add setToken method to AuthService for middleware use
- Fix implicit any types in Footer.astro and Header.astro
- Remove invalid typescript config from astro.config.mjs

apps/frontend/package.json

@@ -9,18 +9,21 @@
     "build": "astro build",
     "preview": "astro preview",
     "check": "astro check",
-    "deploy": "wrangler pages deploy dist"
+    "typecheck": "astro check",
+    "deploy": "wrangler deploy"
   },
   "dependencies": {
-    "@astrojs/cloudflare": "^12.6.9",
+    "@astrojs/cloudflare": "^12.6.12",
     "@tailwindcss/vite": "^4.1.14",
-    "astro": "^5.14.1",
+    "astro": "6.0.0-beta.1",
     "better-auth": "^1.3.13"
   },
   "devDependencies": {
+    "@astrojs/check": "^0.9.6",
     "@tailwindcss/typography": "^0.5.19",
     "autoprefixer": "^10.4.0",
     "tailwindcss": "^4.1.14",
-    "typescript": "^5.4.0"
+    "typescript": "^5.7.3",
+    "wrangler": "^4.59.2"
   }
-}
+}