This is the 9108th most frequent Turkish word.
tugayları
"Brigades" (military units).
Here, 'tugayları' refers to military brigades, acting as the object of the sentence.
Askeri tugayları savaşta önemli bir rol oynar.
Military brigades play an important role in the war.
In this sentence, 'tugayları' indicates brigades led by a commander, with possessive connotation and functioning as the object.
Tugayları yöneten komutan hakkında bir yazı okudum.
I read an article about the commander who leads the brigades.
Here, 'tugayları' means brigades as the object of action related to someone's waiting.