What is the manager file of WooCommerce register form?

Hello, I am currently working on a E-Commerce website and I’m having some trouble finding how the register form in “woocommerce/templates/myaccount/form-login.php” works (click on the link in description to see what I am talking about).

The thing is I did add new inputs to this form (first name, phone number, etc…) and I didn’t want to install a pluggin for that since all I want to do is just get these infos via the $_POST Superglobal, and then send them through a mail, nothing more.

So what I’d love is to know where does this form head, since it doesn’t have an “action” tag, I thought the file just headed to it’s own URL but apparently no.

I hope my question is clear, and if anybody had just a little piece of information to help me out, it would be soooo appreciated !
Thank you in advance ??

The page I need help with: [log in to see the link]