How to Define the Presence of the Türkiye in the South Caucasus: NATO or Turkic World?

The 44 Days War has changed the situation not just in Karabakh but also in the South Caucasus. As a result of the Second Karabakh War and even the current war in Ukraine, Russia became among the powers in the South Caucasus, and Türkiye became a rising power in the region. The question is how to define Turkish presence in the region as a member of NATO or as a founding member of the Organization of Turkic States