This shows how much Claudius cares about being King and holding onto his throne.
He knows that the public loves Hamlet, which is why he can't just arrest him for the murder of Polonius, he has to be much sneakier and trickier than that, otherwise the public will take Hamlet's side and Claudius will lose support.
The primary goal of the Constitution as stated in the Preamble is: (A) to give the country uphold liberty.
The last part of the Preamble reads, "...and secure the Blessings of Liberty to ourselves and our Prosperity..."
A character arc is how a character changes and grows over the course of a story