The origin of "Troika" or "Troyka" comes from the term in Russian (тройка) used to describe three-horse carriage harnessed side by side, or more often, 3 horses-drawn sledge.
Also being used to describe  "A party of three", "Three of a kind",
"A collection of any three" or simply the number "3".
The term Troyka has been widely used in different aspects, such as politics, economy, government, music and lots more.
The word has been used to describe the supreme officials of communist states, consisting of the  party leader, head of government and head of state.
During the Presidency of Ronald Reagan three of his most senior White House advisers were known as "The Troyka"; they were  White House Chief of staff, Counsellor to the President and Deputy White House Chief of Staff.
It is also used in the G 20 Countries and the European Union, to mean the group of the states holding the current, incoming and outgoing chairs of those groups.
For us, TROYKA has nearly the same meaning: Describing

"Three countries which we love" and
"Three Countries which we want to promote"

If we put them in alphabetical order;

ARMENIA - CANADA  - TURKEY