feat: configure base paths for production deployment

Set basename in router and base in vite config for production environment
Update favicon and fix deploy workflow newline

vite.config.ts

@@ -6,6 +6,7 @@ import tailwindcss from "@tailwindcss/vite"
 // https://vite.dev/config/
 export default defineConfig({
   plugins: [react(), tailwindcss()],
+  base: process.env.NODE_ENV === 'production' ? '/react-template/' : '/',
   resolve: {
     alias: {
       "@": fileURLToPath(new URL("./src", import.meta.url)),