Hello ,
when I first started building my website years ago I created a subdomain website :-(
Now Google does not allow anymore to choose between the www.my.domain.com and my.domain.com as main website on g webmasters tools . So link juice is being splitted on the 2 versions by now .

Could this be a possible solution : make my subdomain point to a new main level domain by a 301 redirect ?

I am not allowed to make myself the 301 redirect as I do not have access to the root and have to ask my webhost . But , before any request , I kindly ask you for some opinion .

Thank you for your time .