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/astro.config.mjs

@@ -6,7 +6,13 @@ import tailwindcss from "@tailwindcss/vite";
 // https://astro.build/config
 export default defineConfig({
   output: "server",
-  adapter: cloudflare(),
+  adapter: cloudflare({
+    imageService: 'passthrough',
+    platformProxy: {
+      enabled: true,
+      configPath: './wrangler.jsonc',
+    },
+  }),
   vite: {
     plugins: [tailwindcss()],
     server: {
@@ -19,7 +25,4 @@ export default defineConfig({
       },
     },
   },
-  typescript: {
-    strict: true,
-  },
 });