Hey there @Vyacheslav1 ,
Are you sure you didn't make any typo during entering the domain? Did you contact the Shopify team?
No this is a community forum.
Their support page is here https://help.shopify.com/en/questions#/contact
they have a live chat.
Although I suggest you contact GoDaddy domains aswell. That sounds weird. To me when going to your domain, it is indeed in use. Check it out. Tell Godaddy domains that you want to use it on your shopify store but it says its in use.