refactor(web): migrate frontend to Tailwind CSS and Vike SSR

- Replace Mantine UI components with Tailwind CSS v4
- Migrate from static HTML to Vike-based SSR framework
- Disable SSR for game page (Emscripten requires browser environment)
- Simplify Emscripten loading to avoid hydration conflicts
- Remove Tailwind download logic from web.build.ts
- Add package manager lockfiles for reproducible builds
- Update .gitignore for node_modules and build artifacts

web/pages/index/+config.ts

@@ -0,0 +1,7 @@
+import type { Config } from "vike/types";
+
+// Disable SSR for the game page since Emscripten requires a browser environment
+export default {
+  prerender: false, // Don't pre-render during build
+  ssr: false, // Force client-side only rendering
+} satisfies Config;