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/src/components/Footer.astro

@@ -51,6 +51,13 @@ import { Image } from 'astro:assets';
 
 <script>
   // Client-side data fetching for footer
+  interface LinkItem {
+    link?: {
+      url?: string;
+      label?: string;
+    };
+  }
+
   async function loadFooterData() {
     try {
       console.log('Fetching footer data...');
@@ -61,7 +68,7 @@ import { Image } from 'astro:assets';
       // Update marketing solutions
       const marketingUl = document.getElementById('marketing-solutions');
       if (marketingUl && data.navItems?.[0]?.childNavItems) {
-        const links = data.navItems[0].childNavItems.map(item =>
+        const links = data.navItems[0].childNavItems.map((item: LinkItem) =>
           `<li><a href="${item.link?.url || '#'}" class="font-normal text-[var(--color-st-tropaz)] hover:text-[var(--color-dove-gray)] transition-colors">${item.link?.label}</a></li>`
         ).join('');
         marketingUl.innerHTML = links;
@@ -70,7 +77,7 @@ import { Image } from 'astro:assets';
       // Update marketing articles (行銷放大鏡)
       const articlesUl = document.getElementById('marketing-articles');
       if (articlesUl && data.navItems?.[1]?.childNavItems) {
-        const links = data.navItems[1].childNavItems.map(item =>
+        const links = data.navItems[1].childNavItems.map((item: LinkItem) =>
           `<li><a href="${item.link?.url || '#'}" class="font-normal text-[var(--color-st-tropaz)] hover:text-[var(--color-dove-gray)] transition-colors">${item.link?.label}</a></li>`
         ).join('');
         articlesUl.innerHTML = links;

apps/frontend/src/components/Header.astro

@@ -135,7 +135,7 @@ import { Image } from "astro:assets";
             mobileNav.innerHTML = "";
 
             // Populate desktop navigation
-            navItems.forEach((item) => {
+            navItems.forEach((item: NavItem) => {
                 const linkHtml = createNavLink(item);
                 const li = document.createElement("li");
                 li.innerHTML = linkHtml;
@@ -143,7 +143,7 @@ import { Image } from "astro:assets";
             });
 
             // Populate mobile navigation
-            navItems.forEach((item) => {
+            navItems.forEach((item: NavItem) => {
                 const linkHtml = createNavLink(item)
                     .replace("px-3 py-2", "block px-3 py-2")
                     .replace(

apps/frontend/src/middleware.ts

@@ -15,7 +15,7 @@ export const onRequest = defineMiddleware(async (context, next) => {
     }
 
     // Validate token
-    authService.token = token;
+    authService.setToken(token);
     const user = await authService.getCurrentUser();
 
     if (!user) {

apps/frontend/src/services/auth.ts

@@ -61,6 +61,7 @@ export class AuthService {
   }
 
   async logout(): Promise<void> {
+    const tokenForRequest = this.token;
     this.token = null;
     if (typeof window !== 'undefined') {
       localStorage.removeItem('payload-token');
@@ -68,17 +69,25 @@ export class AuthService {
 
     // Optional: Call logout endpoint
     try {
+      const headers: Record<string, string> = {
+        'Content-Type': 'application/json',
+      };
+      if (tokenForRequest) {
+        headers['Authorization'] = `Bearer ${tokenForRequest}`;
+      }
       await fetch(`${PAYLOAD_URL}/api/users/logout`, {
         method: 'POST',
-        headers: {
-          ...(this.token && { 'Authorization': `Bearer ${this.token}` }),
-        },
+        headers,
       });
     } catch (error) {
       // Ignore logout errors
     }
   }
 
+  setToken(token: string): void {
+    this.token = token;
+  }
+
   async getCurrentUser(): Promise<User | null> {
     if (!this.token) return null;