This is the 13269th most frequent Turkish word.
kazısını
"Kazısını" means "its excavation" or "the act of digging it" in English.
Kazısını refers to 'its excavation' here, indicating a possessive form of the word 'kazı' (excavation) with a third person singular possessive suffix and is in the object position in the sentence.
Çalışanlar, arkeolojik kazısını titizlikle yapıyor.
The workers are carefully conducting the archaeological excavation.
The term 'kazısını' denotes 'his or her excavation,' reflecting possession and is the direct object of the verb 'tamamlamayı' (to complete).
O, kazısını tamamlamayı dört gözle bekliyor.
He is eagerly looking forward to completing his excavation.
In this sentence, 'kazısını' again means 'the excavation' as an object, indicating the same possessiveness and specificity about the excavation referred to.