This is the 7074th most frequent Turkish word.
diler
The Turkish word "diler" means "wishes" or "desires."
Here, 'dileriz' is used in the first-person plural form to express the act of wishing or asking for something, utilizing the verb 'dilemek' (to wish/ask).
Tanrıdan sağlık ve mutluluk dileriz.
We wish health and happiness from God.
In this case, 'dileğini' refers to the noun form 'dilek' (wish) as an accusative object derived from the same root ('dilemek').
Umarım herkes dileğini gerçekleştirir.
I hope everyone fulfills their wish.
Here, 'diler mi' is used in the present simple tense form to inquire if someone expresses a wish for something, directly stemming from the verb 'dilemek'.