Is it permissible to pray in a student's room when there is a dog belonging to one of the tenants in the same house, with the mosque being two kilometers away?

Your prayer in this room is permissible and valid if it is not contaminated by the impurity of the dog, and there is no sin upon you for others having this dog. We advise striving to observe congregational prayer in the mosque due to its great virtue and significant impact on rectifying the heart and remaining steadfast upon the truth.