Is a garment considered impure and must it be removed to ensure the validity of prayer if water splashes the bottom of long sports trousers, which are in contact with shoes sprayed with alcohol mixed with water?

The pants do not become impure by touching the shoe, because the transfer of impurity is not certain except with conviction. The prayer performed with them is valid. Some scholars may consider wine and alcohol to be pure, and it is permissible to adopt this opinion, especially for those who suffer from obsessive doubts.