As determined by the List of Ongoing Armed Conflicts, either in the Wars or Major Wars category.

Note that there are already two active Kurdish conflicts that would be eligible if they moved up the list; with Turkey and with Iran/Iraq. If multiple conflicts add up to 1000+ fatalities, that will not count for a Yes. Only a Kurdish conflict being moved into the War or Major War categories will count.

Clarifications will be made for questions in the comments.