Does carrying a child who has najāsa invalidate the prayer and the ablution?

Among the conditions for the validity of prayer is avoiding impurity on the body, clothes, and place. Therefore, if someone prays while carrying an impure child or a bottle containing impurity, their prayer is invalidated according to the majority of scholars, but their ablution (wudu') is not invalidated. This invalidates the prayer if the worshipper carries the child while knowing that it has impurity. However, if they do not know, or knew and then forgot, their prayer is valid. The difference between this and someone who prayed without ablution due to forgetfulness or ignorance is that ablution falls under the category of performing a commanded act, whereas avoiding impurity falls under the category of abandoning a prohibited act. One is not excused for ignorance or forgetfulness when it comes to abandoning a commanded act, unlike performing a prohibited act.