Final answer:
The cold herbal tea Paraguayans drink is called tereré, a cold version of mate made from the yerba mate plant and often infused with medicinal herbs.
Step-by-step explanation:
The cold herbal tea Paraguayans drink is called tereré. This traditional drink is similar to mate but served cold. Tereré is typically made from the same plant as mate, the dried leaves of yerba mate (Ilex paraguariensis), steeped in cold water. The infusion is often enjoyed with medicinal herbs, referred to as ‘yuyos', which can be selected for their health benefits. Tereré is a social and cultural beverage, enjoyed among friends and family, and is particularly refreshing in the hot climate of Paraguay. In contrast, mate is usually consumed hot and mandioca, another item on the list, is actually a staple food made from the cassava root but not a drink. Lileomento is not a recognized term relevant to the discussion of Paraguayan beverages.