For a point of reference, I won https://www.namebase.io/domains/eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee and actually have a real use for it (don't ask, you'll find out soon enough).

domains can have up to 63 characters, so IMHO all UI designs should probably adjust font size and arrangement so that a given TLD will either be guaranteed to fit on the screen without breaking layout (assuming the widest possible name for a given font size), or wrap gracefully (could be confusing though). i figured you could have some dynamic css classes applied based on tld length and just have a few different font-size "break points" based on that to ensure that shorter names still get to be big and bold but even the longest names can still not make namebase janky.

If you look into this, don't forget that depending on font choice, characters may vary in width substantially so you'd want to assume 63 * the widest url-valid character that the font has, and make sure that the fallback font choice isn't any wider.