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/backend/tsconfig.json

@@ -1,51 +1,55 @@
 {
   "compilerOptions": {
-    "strict": true,
-    "baseUrl": ".",
-    "esModuleInterop": true,
     "target": "ES2022",
+    "module": "ESNext",
     "lib": [
-      "DOM",
-      "DOM.Iterable",
       "ES2022"
     ],
-    "allowJs": true,
-    "skipLibCheck": true,
-    "noEmit": true,
-    "incremental": true,
-    "jsx": "preserve",
-    "module": "esnext",
-    "moduleResolution": "bundler",
+    "moduleResolution": "Bundler",
     "resolveJsonModule": true,
-    "sourceMap": true,
-    "isolatedModules": true,
+    "allowJs": false,
+    "strict": true,
+    "noUnusedLocals": true,
+    "noUnusedParameters": true,
+    "noFallthroughCasesInSwitch": true,
+    "noUncheckedIndexedAccess": true,
+    "allowSyntheticDefaultImports": true,
+    "esModuleInterop": true,
+    "skipLibCheck": true,
+    "forceConsistentCasingInFileNames": true,
+    "jsx": "preserve",
+    "baseUrl": ".",
+    "paths": {
+      "@/*": [
+        "./src/*"
+      ],
+      "@payload-config": [
+        "./src/payload.config"
+      ]
+    },
     "plugins": [
       {
         "name": "next"
       }
     ],
-    "paths": {
-      "@payload-config": [
-        "./src/payload.config.ts"
-      ],
-      "react": [
-        "./node_modules/@types/react"
-      ],
-      "@/*": [
-        "./src/*"
-      ],
-    }
+    "noEmit": true,
+    "incremental": true,
+    "isolatedModules": true
   },
   "include": [
-    "**/*.ts",
-    "**/*.tsx",
-    ".next/types/**/*.ts",
-    "redirects.js",
-    "next-env.d.ts",
+    "src/**/*",
     "next.config.js",
-    "next-sitemap.config.cjs"
+    ".next/types/**/*.ts"
   ],
   "exclude": [
-    "node_modules"
-  ],
+    "node_modules",
+    ".next",
+    "dist",
+    "tests/**/*",
+    "**/__tests__/**/*",
+    "**/*.spec.ts",
+    "**/*.test.ts",
+    "vitest.config.mts",
+    "playwright.config.ts"
+  ]
 }