Blade is only used to create HTML skeleton, which is then rendered server-side with Node. You shouldn't try to get rid of the Blade file.
https://inertiajs.com/server-side-rendering
The easiest way to see the SSR setup is to install a starter kit with Breeze in a fresh Laravel project:
composer require laravel/breeze
php artisan breeze:install react --ssr
Then you need to run the SSR renderer process in the background:
php artisan inertia:start-ssr
This is assuming you already have a web server and the Vite development server set up and running, e.g. through Herd or composer run dev.