feat: deploy web app to GitHub Pages

apps/web-app/src/App.tsx

@@ -5,7 +5,7 @@ import { BookOpen, Github } from 'lucide-react';
 
 function App(): React.ReactElement {
   return (
-    <Router>
+    <Router basename={import.meta.env.BASE_URL.replace(/\/$/, '') || '/'}>
       <div className="min-h-screen bg-slate-50 dark:bg-slate-950 text-slate-900 dark:text-slate-50">
         <header className="sticky top-0 z-50 w-full border-b border-slate-200 dark:border-slate-800 bg-white/80 dark:bg-slate-950/80 backdrop-blur supports-[backdrop-filter]:bg-white/60">
           <div className="container flex h-14 max-w-screen-2xl items-center mx-auto px-4">

apps/web-app/src/vite-env.d.ts

@@ -0,0 +1 @@
+/// <reference types="vite/client" />