Generally speaking, saying that Tom is a person can solve it, and then saying that it is not yours means that this thing is not yours.
At least in normal times, this is a spoken word. I feel that the ownership of this thing does not belong to you, or it belongs to another person. For example, the ownership of items belongs to authority, or the responsibility belongs to you.
Another way of saying it is that the linked cat does not belong to you, which means that this thing is not yours.
In fact, many people like Tom, and you can like it if it's not yours. Anyway, whatever, just pursue what you like. One day you will find your favorite Tom.