Make a game of mouse and cat #Challenge

Hi,
A Game of Cat and mouse consist of a mouse inside a circular pond with a cat who needs to catch it but can't enter the pond.
The mouse is slow inside the pond but faster than the cat outside.
There is a numberphile video about it: https://www.youtube.com/watch?v=vF_-ob9vseM&t=464s

No files, tests, or entry points are named. Start by reviewing the issue description and linked Numberphile video to understand the proposed game. Before implementation, define the game platform, controls, rules, and success criteria; done would require an agreed playable game scope.

Written by the indexing model from the issue text.