Here's what we can piece together:
* Luwian: During the Late Bronze Age, the city was likely ruled by the Hittites, a powerful empire that spoke Luwian, a language closely related to Anatolian languages. Evidence suggests that Luwian was the language of the ruling class in Troy during this period.
* Greek: The Trojan War, as depicted in Homer's Iliad, is a major event in Greek mythology. This suggests that Greek may have been spoken in Troy during the 13th century BCE, though it's unclear if it was widely used by the population.
* Other Anatolian Languages: Troy's location in Anatolia suggests the presence of other languages spoken in the region, such as Lydian or Phrygian, during different periods.
* Unknown: The archaeological record provides limited information on the languages spoken in Troy before the Late Bronze Age. It's highly likely that there were other languages used in the city throughout its long history.
In summary, while we can speculate about the languages spoken in Troy, definitive answers remain elusive. More research and archaeological evidence are needed to shed light on the linguistic landscape of this ancient city.