What would happen if a US citizen tourist lost their passport in Crimea?

What would happen if a US citizen tourist lost their passport in Crimea? In practice, Crimea is controlled by the Russian Federation, but the US views it as Ukrainian territory, and therefore refuses to offer consular services there (because they would view operating under Russian accreditation as an illegal entry into Ukraine). Thus, I can’t see a way to get an emergency replacement passport while in Crimea. Travelling long-distance to the nearest consulate in Russia seems hard without a valid passport, and crossing the militarized front line into Ukrainian government-controlled territory seems virtually impossible. What would happen to a person in this situation?