unlimited paradox: can an unlimited thing then limit itself?

if you answer that the entity can limit itself, then you are saying it’s not truly unlimited. yet, if you answer that the entity can’t limit itself, it’s still not unlimited. it’s a paradox.

if unlimited entities exist, how do you reconcile this paradox?

or, if you think about existence and the universe as we know it, we know it is all finite, so maybe that plus the paradox are indicators that unlimited things just don’t exist?