How can one get rid of the black dog with the white spot that the sister keeps in the house and that causes impurities and harm?

Keeping dogs is forbidden except for a legitimate need. If someone does not respond to the request to remove the dog, it can be gotten rid of by expelling it far from the house without killing it. It is permissible to kill a black dog (al-bahim), a rabid dog, and anything that harms or injures people. As for that which causes no harm, it is not permissible to kill it. If killing the dog becomes necessary to eliminate its harm, then it should be killed by any permissible means, choosing the easiest methods.