Solution to 4: Shopping List

    The numbers indicated by the shopping list are the Roman numerals contained in the item to buy.

    1. Vent - remove V
    2. Dr - remove D
    3. Lance - remove L
    4. Mold - remove M, L and D
    5. Filth - remove I and L
    6. Meat - remove M
    7. Relic - remove L, I, and C

    Taking out the letters that are Roman numerals gives the phrase

    ENTRANCE OF THEATRE

    When this was submitted as an answer, teams were given the prompt, "Yes, but where are we again?" Since we're using Roman numerals, we're in Rome. The entrance to a Roman theatre is called a vomitorium, which is the answer to the puzzle.

    Fun fact: vomitoria are commonly mistaken to be places where the Romans binged on food, which they then promptly threw up.
VOMITORIUM