ДИШ-ХАКЪ
A Wikipedia article describes “диш-хакъ” as “зъбен данък, такса, плащана от домакина, загдето „правоверният“ си е хабил зъбите с неговата „гяурска“ (друговерска) храна” Am I to understand that “диш-хакъ” was a tax imposed on people who ate a lot of pork?

Question

Answer

Rough translation of what you wrote: This is a tooth tax. The housemaster has to pay this tax because the Muslim didn't enjoy the meal he was offered by the Christian.