Does impurity transfer to laundry, carpets, the floor, and the clothesline due to the presence of a baby's feces in the washing machine, and how are they purified?

If the water that separates from washing clothes is not altered by impurity, then the adjacent clothes washed with them do not become impure.

As for what comes into contact with a wet or damp towel from the carpet, there is a difference of opinion regarding the transfer of impurity to it. It is permissible to adopt the view of those who do not see impurity transferring in such a case. However, it is more cautious to wash what you are certain has come into contact with wet impurity, and for what is doubtful, the basic principle is that it has not become impure.