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

package.json

@@ -8,11 +8,13 @@
     "build": "turbo run build",
     "lint": "turbo run lint",
     "test": "turbo run test",
+    "typecheck": "turbo run typecheck",
     "bmad:refresh": "bmad-method install -f -i codex",
     "bmad:list": "bmad-method list:agents",
     "bmad:validate": "bmad-method validate"
   },
   "devDependencies": {
+    "eslint-plugin-react-hooks": "^7.0.1",
     "turbo": "^2.0.5"
   },
   "pnpm": {