And alluded to in all this is Elul , a time which was made for reconnecting. When Adam and Chava ate from the Tree of Knowledge of Good and Evil, they also felt their sudden distance from Hashem. As you know, Hashem doesn't do things 'anyway'. Adam and Chava made clothing to quickly cover their shame. Hashem made them clothing to reconnect them to holiness.
Holiness exists in a Torah prescribed wardrobe.
Verse 13 said this woman removes the clothes of her captivity. Clothes designed for seduction. When the men went to war, the women dressed just in case their husbands DIDN'T come back. Clothing of impurity and unholiness. These she must take off.