It is your responsibility to register your new foreign domain name with the appropriate organisation responsible for your domain name extensions.
The reason we leave this up to the client is that it would be very burdensome to establish relationships and learn the rules for registering new domains with all of the organisations that handle foreign domain registrations. You will need to learn the rules for registration and apply for the foreign domain name through the appropriate organisation.
You will also be responsible for any applicable fees associated with registering the domain name.