Answer
I say, and with God's success: The leftover water from a mouse is disliked to use in purification as a matter of preference when there are other options available that are not disliked. It is not disliked in the absence of pure water due to the necessity of its presence; it resides in houses, unlike scorpions, beetles, and crickets, which are not impure, so there is no dislike in them. Refer to: Maraqi al-Falah 32, Al-Sayah 1: 465, and Radd al-Muhtar 1: 149, and God knows best.