About the service
You're probably not getting one.
checkyourcloset.xyz issues a small number of private email addresses under this domain but only for genuinely extraordinary reasons. Wanting a nicer inbox isn't one. Neither is "it would look professional."
This isn't scarcity for its own sake. The address only stays worth having because almost no one has it. That's the whole mechanism.
If your reason actually clears that bar, you're welcome to make your case.