This is the 10098th most frequent Turkish word.
bayramınızı
"Your holiday" or "your festival."
The word 'bayramınızı' refers to the second person plural or formal possessive 'your holiday' (direct object form in Turkish). It is used here in the context of celebration.
Bayramınızı en içten dileklerimle kutlarım.
I celebrate your holiday with my sincerest wishes.
Here, 'bayramınızı' is used to convey possession ('your holiday') as the direct object of the action 'spend.'
Bayramınızı huzur içinde geçirmenizi dilerim.
I wish for you to spend your holiday in peace.
In this case, 'bayramınızı' again stands for 'your holiday' and serves as the object of the verb 'spend.'