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;