That's wrong. Turkish coffee is a coffee making technique, where you dissolve very finely grounded coffee (finer than espresso) in a boiling water directly. There are no filters or puck or anything alike. You get a very strong cup of coffee, similar to espresso, but tastes quite very different. Some people prefer to put sugar (because it's strong) or other stuff to make it taste less strong. But that's the exception (I live in Turkey and know the customs very well)

Turkish coffee is in general just coffee and water. Some drinks it with a little sugar.

There are varieties with cardamon or mastic but they are very rare.