Not receiving form notification

on the website https://www.msjoanna.stronazen.pl/ with Pirate Form installed, when I send test enquiry, here’s what happens:

– confirmation page appears,
– I, as fake client, receive confirmation,
– enquiry is stored in ‘contacts’ menu in WordPress.

Only thing that is NOT happening, is that I don’t receive notification, that new form was sent.

I use php mail, I didn’t manage to setup SMTP sending in any way (with gmail), but it can’t be the issue as one side receives confirmation mail but the other does not.