Is this a problem?
Well, you could just leave. But a house represents a significant investment of wealth. Nobody's going to buy a house with a tiger in it.
You could wait and starve it out. But somehow this doesn't seem to work. It's not clear what the tiger is eating or if it's even a real physical entity. Anyway you watch the house door for a week and you don't see the tiger go out, but when you come back in it's still right there curled up on your rug. It doesn't seem happy that you left it alone.
You could hire some adventurers to kill the tiger. Tigers are cunning and hard to kill but so are adventurers, in theory.
You could try to co-exist with the tiger. Of course it could kill you at any time but it hasn't done that yet. You respect its space and try not to freak out when it curls up behind you on the sofa. Some days the tiger wants company. Other days it's grouchy and you have to walk on eggshells. There are advantages - nobody's going to rob a house with a tiger in it. It can tolerate guests. Maybe you could host a big fancy party and impress your friends. A lot of people do this and it kind of works okay but it's very stressful until you get used to it, and one day after you've gotten used to it the tiger will kill and eat you. What do you expect? It's a tiger.
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