Does Uzhitz have a bath house?

[M6Hurricane]

Looking all over and I can't see it. Lore says that every city had multiple bath houses.

[Lieste]

Uzhitz isn't really a city though. More of a small rural village.

There are bathhouses in the adjacent towns - Talmberk (in the same Demesne) and Rattay (foreign), as well as in Ledetchko and Sasau - Note that Skalitz also has no Bathhouse.

There are wash basins in every toft, at most workplaces, or along the streets of towns, so the required ablutions are possible before every meal.
Visiting a laundry or batthouse would be a much rarer event for most working poor, and most would do the best they could at home instead of spending a significant part of their wages.

Soap could be easily approximated by certain herbs easily grown and gathered.