Unable to create account on Woocommerce checkout page

Hello.
Using this plugin, the login to existing accounts works correctly.

However, there is no way to create a new account on the Woocommerce checkout page.

The form that the plugin inserts into the checkout page is for login only.
When I complete the passwordless authentication from the form, nothing happens if the user is not already registered on the website.
Also, the form for new registration is not inserted on the checkout page, so we have to jump to another page to create an account in checkout process.

This is not practical for many stores.
Could you please improve the plugin so that new accounts can be registered on the checkout page?

Thanks for the nice plugin.