Assuming your the url for the project is https:://yourdomain.com/nested, then paste this code in your conf file. Remember to change nested to your real sub-directory folder name

location /nested {
    alias /var/www/nested/public;
    try_files $uri $uri/ @nested;

    location ~ \.php$ {
        include snippets/fastcgi-php.conf;
        fastcgi_param SCRIPT_FILENAME $request_filename;
        fastcgi_pass unix:/var/run/php/php8.2-fpm.sock; #change 8.2 to your php version
    }
}

location @nested {
    rewrite /nested/(.*)$ /nested/index.php?/ last;
}