Suddenly there was a meow at the door of the house. As soon as the door opened, the cat came in and couldn't get rid of it after walking around the house for a long time.

Cats rarely choose to live in strangers' homes. Generally speaking, there must be a reason for this (not metaphysics), just because cats are aloof, wilder than dogs and have stronger survival ability in the wild. So spray it until a cat offers to take it in. Maybe it will leave by itself soon.