feat: add TypeScript types, API client, and TanStack Query hooks

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

TaskTracker.Web/src/main.tsx

@@ -1,10 +1,17 @@
 import { StrictMode } from 'react'
 import { createRoot } from 'react-dom/client'
+import { QueryClient, QueryClientProvider } from '@tanstack/react-query'
 import './index.css'
 import App from './App'
 
+const queryClient = new QueryClient({
+  defaultOptions: { queries: { staleTime: 10_000, retry: 1 } },
+})
+
 createRoot(document.getElementById('root')!).render(
   <StrictMode>
-    <App />
+    <QueryClientProvider client={queryClient}>
+      <App />
+    </QueryClientProvider>
   </StrictMode>,
 )